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Finding the Fourth Proportional to 102,238.71, 153,233.71 and 54,737.07

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Solution

The fourth proportional to 102,238.71, 153,233.71 and 54,737.07 is: 82,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.71 : 153,233.71 = 54,737.07 : x
  2. Step 2: Convert to fraction form
    102,238.71/153,233.71 = 54,737.07/x
  3. Step 3: Cross multiply
    102,238.71x = 153,233.71 × 54,737.07
  4. Step 4: Simplify right side
    102,238.71x = 8,387,564,310.63
  5. Step 5: Solve for x
    x = 8,387,564,310.63/102,238.71
  6. Step 6: Final answer
    x = 82,039.03

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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.