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Finding the Fourth Proportional to 177,432, 266,227.16 and 96,403.60

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Solution

The fourth proportional to 177,432, 266,227.16 and 96,403.60 is: 144,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,432 : 266,227.16 = 96,403.60 : x
  2. Step 2: Convert to fraction form
    177,432/266,227.16 = 96,403.60/x
  3. Step 3: Cross multiply
    177,432x = 266,227.16 × 96,403.60
  4. Step 4: Simplify right side
    177,432x = 25,665,256,641.78
  5. Step 5: Solve for x
    x = 25,665,256,641.78/177,432
  6. Step 6: Final answer
    x = 144,648.41

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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.