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Finding the Fourth Proportional to 159,002.08, 238,531.92 and 65,456.80

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Solution

The fourth proportional to 159,002.08, 238,531.92 and 65,456.80 is: 98,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,002.08 : 238,531.92 = 65,456.80 : x
  2. Step 2: Convert to fraction form
    159,002.08/238,531.92 = 65,456.80/x
  3. Step 3: Cross multiply
    159,002.08x = 238,531.92 × 65,456.80
  4. Step 4: Simplify right side
    159,002.08x = 15,613,536,181.06
  5. Step 5: Solve for x
    x = 15,613,536,181.06/159,002.08
  6. Step 6: Final answer
    x = 98,197.06

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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.