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Finding the Fourth Proportional to 224,747.40, 337,509.90 and 146,209.80

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Solution

The fourth proportional to 224,747.40, 337,509.90 and 146,209.80 is: 219,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747.40 : 337,509.90 = 146,209.80 : x
  2. Step 2: Convert to fraction form
    224,747.40/337,509.90 = 146,209.80/x
  3. Step 3: Cross multiply
    224,747.40x = 337,509.90 × 146,209.80
  4. Step 4: Simplify right side
    224,747.40x = 49,347,254,977.02
  5. Step 5: Solve for x
    x = 49,347,254,977.02/224,747.40
  6. Step 6: Final answer
    x = 219,567.63

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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.