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Finding the Fourth Proportional to 137,614.98, 206,361.09 and 47,666.10

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Solution

The fourth proportional to 137,614.98, 206,361.09 and 47,666.10 is: 71,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.98 : 206,361.09 = 47,666.10 : x
  2. Step 2: Convert to fraction form
    137,614.98/206,361.09 = 47,666.10/x
  3. Step 3: Cross multiply
    137,614.98x = 206,361.09 × 47,666.10
  4. Step 4: Simplify right side
    137,614.98x = 9,836,428,352.05
  5. Step 5: Solve for x
    x = 9,836,428,352.05/137,614.98
  6. Step 6: Final answer
    x = 71,477.89

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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.