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Finding the Fourth Proportional to 160,452.78, 240,915.72 and 89,514

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Solution

The fourth proportional to 160,452.78, 240,915.72 and 89,514 is: 134,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,452.78 : 240,915.72 = 89,514 : x
  2. Step 2: Convert to fraction form
    160,452.78/240,915.72 = 89,514/x
  3. Step 3: Cross multiply
    160,452.78x = 240,915.72 × 89,514
  4. Step 4: Simplify right side
    160,452.78x = 21,565,329,760.08
  5. Step 5: Solve for x
    x = 21,565,329,760.08/160,452.78
  6. Step 6: Final answer
    x = 134,402.97

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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.