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Finding the Fourth Proportional to 159,102.34, 238,641.02 and 92,500

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Solution

The fourth proportional to 159,102.34, 238,641.02 and 92,500 is: 138,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102.34 : 238,641.02 = 92,500 : x
  2. Step 2: Convert to fraction form
    159,102.34/238,641.02 = 92,500/x
  3. Step 3: Cross multiply
    159,102.34x = 238,641.02 × 92,500
  4. Step 4: Simplify right side
    159,102.34x = 22,074,294,350
  5. Step 5: Solve for x
    x = 22,074,294,350/159,102.34
  6. Step 6: Final answer
    x = 138,742.74

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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.