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Finding the Fourth Proportional to 135,218.73, 202,839.03 and 46,472.31

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Solution

The fourth proportional to 135,218.73, 202,839.03 and 46,472.31 is: 69,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,218.73 : 202,839.03 = 46,472.31 : x
  2. Step 2: Convert to fraction form
    135,218.73/202,839.03 = 46,472.31/x
  3. Step 3: Cross multiply
    135,218.73x = 202,839.03 × 46,472.31
  4. Step 4: Simplify right side
    135,218.73x = 9,426,398,282.26
  5. Step 5: Solve for x
    x = 9,426,398,282.26/135,218.73
  6. Step 6: Final answer
    x = 69,712.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.