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Finding the Fourth Proportional to 178,101.24, 267,250.24 and 99,259.90

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Solution

The fourth proportional to 178,101.24, 267,250.24 and 99,259.90 is: 148,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,101.24 : 267,250.24 = 99,259.90 : x
  2. Step 2: Convert to fraction form
    178,101.24/267,250.24 = 99,259.90/x
  3. Step 3: Cross multiply
    178,101.24x = 267,250.24 × 99,259.90
  4. Step 4: Simplify right side
    178,101.24x = 26,527,232,097.38
  5. Step 5: Solve for x
    x = 26,527,232,097.38/178,101.24
  6. Step 6: Final answer
    x = 148,944.68

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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.