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Finding the Fourth Proportional to 137,614.61, 206,226.61 and 57,566.31

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Solution

The fourth proportional to 137,614.61, 206,226.61 and 57,566.31 is: 86,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.61 : 206,226.61 = 57,566.31 : x
  2. Step 2: Convert to fraction form
    137,614.61/206,226.61 = 57,566.31/x
  3. Step 3: Cross multiply
    137,614.61x = 206,226.61 × 57,566.31
  4. Step 4: Simplify right side
    137,614.61x = 11,871,704,817.59
  5. Step 5: Solve for x
    x = 11,871,704,817.59/137,614.61
  6. Step 6: Final answer
    x = 86,267.76

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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.