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Finding the Fourth Proportional to 224,332.56, 335,708.88 and 140,132.34

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Solution

The fourth proportional to 224,332.56, 335,708.88 and 140,132.34 is: 209,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,332.56 : 335,708.88 = 140,132.34 : x
  2. Step 2: Convert to fraction form
    224,332.56/335,708.88 = 140,132.34/x
  3. Step 3: Cross multiply
    224,332.56x = 335,708.88 × 140,132.34
  4. Step 4: Simplify right side
    224,332.56x = 47,043,670,913.18
  5. Step 5: Solve for x
    x = 47,043,670,913.18/224,332.56
  6. Step 6: Final answer
    x = 209,705.05

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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.