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Finding the Fourth Proportional to 224,719.20, 336,641.40 and 135,708.30

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Solution

The fourth proportional to 224,719.20, 336,641.40 and 135,708.30 is: 203,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,719.20 : 336,641.40 = 135,708.30 : x
  2. Step 2: Convert to fraction form
    224,719.20/336,641.40 = 135,708.30/x
  3. Step 3: Cross multiply
    224,719.20x = 336,641.40 × 135,708.30
  4. Step 4: Simplify right side
    224,719.20x = 45,685,032,103.62
  5. Step 5: Solve for x
    x = 45,685,032,103.62/224,719.20
  6. Step 6: Final answer
    x = 203,298.30

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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.