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Finding the Fourth Proportional to 118,520.13, 177,780.20 and 35,414.13

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Solution

The fourth proportional to 118,520.13, 177,780.20 and 35,414.13 is: 53,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,520.13 : 177,780.20 = 35,414.13 : x
  2. Step 2: Convert to fraction form
    118,520.13/177,780.20 = 35,414.13/x
  3. Step 3: Cross multiply
    118,520.13x = 177,780.20 × 35,414.13
  4. Step 4: Simplify right side
    118,520.13x = 6,295,931,114.23
  5. Step 5: Solve for x
    x = 6,295,931,114.23/118,520.13
  6. Step 6: Final answer
    x = 53,121.20

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