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Finding the Fourth Proportional to 202,781.57, 304,125.17 and 76,434.53

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Solution

The fourth proportional to 202,781.57, 304,125.17 and 76,434.53 is: 114,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,781.57 : 304,125.17 = 76,434.53 : x
  2. Step 2: Convert to fraction form
    202,781.57/304,125.17 = 76,434.53/x
  3. Step 3: Cross multiply
    202,781.57x = 304,125.17 × 76,434.53
  4. Step 4: Simplify right side
    202,781.57x = 23,245,664,430.12
  5. Step 5: Solve for x
    x = 23,245,664,430.12/202,781.57
  6. Step 6: Final answer
    x = 114,634.01

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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.