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Finding the Fourth Proportional to 242,201.70, 362,956.95 and 178,524.90

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Solution

The fourth proportional to 242,201.70, 362,956.95 and 178,524.90 is: 267,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,201.70 : 362,956.95 = 178,524.90 : x
  2. Step 2: Convert to fraction form
    242,201.70/362,956.95 = 178,524.90/x
  3. Step 3: Cross multiply
    242,201.70x = 362,956.95 × 178,524.90
  4. Step 4: Simplify right side
    242,201.70x = 64,796,853,203.06
  5. Step 5: Solve for x
    x = 64,796,853,203.06/242,201.70
  6. Step 6: Final answer
    x = 267,532.61

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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.