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Finding the Fourth Proportional to 224,649.47, 337,065.93 and 144,729.20

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Solution

The fourth proportional to 224,649.47, 337,065.93 and 144,729.20 is: 217,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,649.47 : 337,065.93 = 144,729.20 : x
  2. Step 2: Convert to fraction form
    224,649.47/337,065.93 = 144,729.20/x
  3. Step 3: Cross multiply
    224,649.47x = 337,065.93 × 144,729.20
  4. Step 4: Simplify right side
    224,649.47x = 48,783,280,710.83
  5. Step 5: Solve for x
    x = 48,783,280,710.83/224,649.47
  6. Step 6: Final answer
    x = 217,152.89

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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.