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Finding the Fourth Proportional to 117,987.30, 176,980.95 and 106,323.30

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Solution

The fourth proportional to 117,987.30, 176,980.95 and 106,323.30 is: 159,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,987.30 : 176,980.95 = 106,323.30 : x
  2. Step 2: Convert to fraction form
    117,987.30/176,980.95 = 106,323.30/x
  3. Step 3: Cross multiply
    117,987.30x = 176,980.95 × 106,323.30
  4. Step 4: Simplify right side
    117,987.30x = 18,817,198,641.14
  5. Step 5: Solve for x
    x = 18,817,198,641.14/117,987.30
  6. Step 6: Final answer
    x = 159,484.95

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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.