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Finding the Fourth Proportional to 134,843.72, 202,294.38 and 51,737

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Solution

The fourth proportional to 134,843.72, 202,294.38 and 51,737 is: 77,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,843.72 : 202,294.38 = 51,737 : x
  2. Step 2: Convert to fraction form
    134,843.72/202,294.38 = 51,737/x
  3. Step 3: Cross multiply
    134,843.72x = 202,294.38 × 51,737
  4. Step 4: Simplify right side
    134,843.72x = 10,466,104,338.06
  5. Step 5: Solve for x
    x = 10,466,104,338.06/134,843.72
  6. Step 6: Final answer
    x = 77,616.55

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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.