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Finding the Fourth Proportional to 224,808, 337,212.24 and 67,032.48

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Solution

The fourth proportional to 224,808, 337,212.24 and 67,032.48 is: 100,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,808 : 337,212.24 = 67,032.48 : x
  2. Step 2: Convert to fraction form
    224,808/337,212.24 = 67,032.48/x
  3. Step 3: Cross multiply
    224,808x = 337,212.24 × 67,032.48
  4. Step 4: Simplify right side
    224,808x = 22,604,172,733.56
  5. Step 5: Solve for x
    x = 22,604,172,733.56/224,808
  6. Step 6: Final answer
    x = 100,548.79

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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.