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Finding the Fourth Proportional to 224,782.90, 337,340.70 and 106,454.52

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Solution

The fourth proportional to 224,782.90, 337,340.70 and 106,454.52 is: 159,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,782.90 : 337,340.70 = 106,454.52 : x
  2. Step 2: Convert to fraction form
    224,782.90/337,340.70 = 106,454.52/x
  3. Step 3: Cross multiply
    224,782.90x = 337,340.70 × 106,454.52
  4. Step 4: Simplify right side
    224,782.90x = 35,911,442,294.96
  5. Step 5: Solve for x
    x = 35,911,442,294.96/224,782.90
  6. Step 6: Final answer
    x = 159,760.56

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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.