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Finding the Fourth Proportional to 224,927.30, 337,002.15 and 146,000.90

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Solution

The fourth proportional to 224,927.30, 337,002.15 and 146,000.90 is: 218,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,927.30 : 337,002.15 = 146,000.90 : x
  2. Step 2: Convert to fraction form
    224,927.30/337,002.15 = 146,000.90/x
  3. Step 3: Cross multiply
    224,927.30x = 337,002.15 × 146,000.90
  4. Step 4: Simplify right side
    224,927.30x = 49,202,617,201.94
  5. Step 5: Solve for x
    x = 49,202,617,201.94/224,927.30
  6. Step 6: Final answer
    x = 218,748.98

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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.