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Finding the Fourth Proportional to 137,689.31, 206,536.25 and 37,848.89

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Solution

The fourth proportional to 137,689.31, 206,536.25 and 37,848.89 is: 56,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,689.31 : 206,536.25 = 37,848.89 : x
  2. Step 2: Convert to fraction form
    137,689.31/206,536.25 = 37,848.89/x
  3. Step 3: Cross multiply
    137,689.31x = 206,536.25 × 37,848.89
  4. Step 4: Simplify right side
    137,689.31x = 7,817,167,807.26
  5. Step 5: Solve for x
    x = 7,817,167,807.26/137,689.31
  6. Step 6: Final answer
    x = 56,773.96

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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.