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Finding the Fourth Proportional to 178,002.30, 267,003.45 and 150,008.70

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Solution

The fourth proportional to 178,002.30, 267,003.45 and 150,008.70 is: 225,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.30 : 267,003.45 = 150,008.70 : x
  2. Step 2: Convert to fraction form
    178,002.30/267,003.45 = 150,008.70/x
  3. Step 3: Cross multiply
    178,002.30x = 267,003.45 × 150,008.70
  4. Step 4: Simplify right side
    178,002.30x = 40,052,840,430.02
  5. Step 5: Solve for x
    x = 40,052,840,430.02/178,002.30
  6. Step 6: Final answer
    x = 225,013.05

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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.