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Finding the Fourth Proportional to 224,340.70, 335,721.16 and 140,140.52

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Solution

The fourth proportional to 224,340.70, 335,721.16 and 140,140.52 is: 209,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,340.70 : 335,721.16 = 140,140.52 : x
  2. Step 2: Convert to fraction form
    224,340.70/335,721.16 = 140,140.52/x
  3. Step 3: Cross multiply
    224,340.70x = 335,721.16 × 140,140.52
  4. Step 4: Simplify right side
    224,340.70x = 47,048,137,937.40
  5. Step 5: Solve for x
    x = 47,048,137,937.40/224,340.70
  6. Step 6: Final answer
    x = 209,717.35

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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.