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Finding the Fourth Proportional to 117,451,876.80, 176,177,815.20 and 106,681,339.20

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Solution

The fourth proportional to 117,451,876.80, 176,177,815.20 and 106,681,339.20 is: 160,022,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,451,876.80 : 176,177,815.20 = 106,681,339.20 : x
  2. Step 2: Convert to fraction form
    117,451,876.80/176,177,815.20 = 106,681,339.20/x
  3. Step 3: Cross multiply
    117,451,876.80x = 176,177,815.20 × 106,681,339.20
  4. Step 4: Simplify right side
    117,451,876.80x = 18,794,885,262,866,116
  5. Step 5: Solve for x
    x = 18,794,885,262,866,116/117,451,876.80
  6. Step 6: Final answer
    x = 160,022,008.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.