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Finding the Fourth Proportional to 137,537.74, 206,317.54 and 58,652.64

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Solution

The fourth proportional to 137,537.74, 206,317.54 and 58,652.64 is: 87,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,537.74 : 206,317.54 = 58,652.64 : x
  2. Step 2: Convert to fraction form
    137,537.74/206,317.54 = 58,652.64/x
  3. Step 3: Cross multiply
    137,537.74x = 206,317.54 × 58,652.64
  4. Step 4: Simplify right side
    137,537.74x = 12,101,068,399.31
  5. Step 5: Solve for x
    x = 12,101,068,399.31/137,537.74
  6. Step 6: Final answer
    x = 87,983.62

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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.