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Finding the Fourth Proportional to 149,714.80, 224,572.20 and 135,936.70

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Solution

The fourth proportional to 149,714.80, 224,572.20 and 135,936.70 is: 203,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714.80 : 224,572.20 = 135,936.70 : x
  2. Step 2: Convert to fraction form
    149,714.80/224,572.20 = 135,936.70/x
  3. Step 3: Cross multiply
    149,714.80x = 224,572.20 × 135,936.70
  4. Step 4: Simplify right side
    149,714.80x = 30,527,603,779.74
  5. Step 5: Solve for x
    x = 30,527,603,779.74/149,714.80
  6. Step 6: Final answer
    x = 203,905.05

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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.