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Finding the Fourth Proportional to 224,940.80, 337,411.85 and 65,029.76

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Solution

The fourth proportional to 224,940.80, 337,411.85 and 65,029.76 is: 97,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,940.80 : 337,411.85 = 65,029.76 : x
  2. Step 2: Convert to fraction form
    224,940.80/337,411.85 = 65,029.76/x
  3. Step 3: Cross multiply
    224,940.80x = 337,411.85 × 65,029.76
  4. Step 4: Simplify right side
    224,940.80x = 21,941,809,614.45
  5. Step 5: Solve for x
    x = 21,941,809,614.45/224,940.80
  6. Step 6: Final answer
    x = 97,544.82

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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.