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Finding the Fourth Proportional to 117,886.20, 176,829.30 and 47,767.80

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Solution

The fourth proportional to 117,886.20, 176,829.30 and 47,767.80 is: 71,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,886.20 : 176,829.30 = 47,767.80 : x
  2. Step 2: Convert to fraction form
    117,886.20/176,829.30 = 47,767.80/x
  3. Step 3: Cross multiply
    117,886.20x = 176,829.30 × 47,767.80
  4. Step 4: Simplify right side
    117,886.20x = 8,446,746,636.54
  5. Step 5: Solve for x
    x = 8,446,746,636.54/117,886.20
  6. Step 6: Final answer
    x = 71,651.70

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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.