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Finding the Fourth Proportional to 261,602.25, 392,407.16 and 74,613.75

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Solution

The fourth proportional to 261,602.25, 392,407.16 and 74,613.75 is: 111,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,602.25 : 392,407.16 = 74,613.75 : x
  2. Step 2: Convert to fraction form
    261,602.25/392,407.16 = 74,613.75/x
  3. Step 3: Cross multiply
    261,602.25x = 392,407.16 × 74,613.75
  4. Step 4: Simplify right side
    261,602.25x = 29,278,969,361.38
  5. Step 5: Solve for x
    x = 29,278,969,361.38/261,602.25
  6. Step 6: Final answer
    x = 111,921.70

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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.