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Finding the Fourth Proportional to 224,729.40, 337,094.10 and 136,543.80

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Solution

The fourth proportional to 224,729.40, 337,094.10 and 136,543.80 is: 204,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,729.40 : 337,094.10 = 136,543.80 : x
  2. Step 2: Convert to fraction form
    224,729.40/337,094.10 = 136,543.80/x
  3. Step 3: Cross multiply
    224,729.40x = 337,094.10 × 136,543.80
  4. Step 4: Simplify right side
    224,729.40x = 46,028,109,371.58
  5. Step 5: Solve for x
    x = 46,028,109,371.58/224,729.40
  6. Step 6: Final answer
    x = 204,815.70

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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.