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Finding the Fourth Proportional to 137,689.32, 206,536.24 and 37,848.90

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Solution

The fourth proportional to 137,689.32, 206,536.24 and 37,848.90 is: 56,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,689.32 : 206,536.24 = 37,848.90 : x
  2. Step 2: Convert to fraction form
    137,689.32/206,536.24 = 37,848.90/x
  3. Step 3: Cross multiply
    137,689.32x = 206,536.24 × 37,848.90
  4. Step 4: Simplify right side
    137,689.32x = 7,817,169,494.14
  5. Step 5: Solve for x
    x = 7,817,169,494.14/137,689.32
  6. Step 6: Final answer
    x = 56,773.97

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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.