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Finding the Fourth Proportional to 224,338.70, 335,718.17 and 140,138.52

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Solution

The fourth proportional to 224,338.70, 335,718.17 and 140,138.52 is: 209,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,338.70 : 335,718.17 = 140,138.52 : x
  2. Step 2: Convert to fraction form
    224,338.70/335,718.17 = 140,138.52/x
  3. Step 3: Cross multiply
    224,338.70x = 335,718.17 × 140,138.52
  4. Step 4: Simplify right side
    224,338.70x = 47,047,046,518.90
  5. Step 5: Solve for x
    x = 47,047,046,518.90/224,338.70
  6. Step 6: Final answer
    x = 209,714.36

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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.