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Finding the Fourth Proportional to 267,643.72, 369,314.62 and 146,753.20

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Solution

The fourth proportional to 267,643.72, 369,314.62 and 146,753.20 is: 202,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,643.72 : 369,314.62 = 146,753.20 : x
  2. Step 2: Convert to fraction form
    267,643.72/369,314.62 = 146,753.20/x
  3. Step 3: Cross multiply
    267,643.72x = 369,314.62 × 146,753.20
  4. Step 4: Simplify right side
    267,643.72x = 54,198,102,291.78
  5. Step 5: Solve for x
    x = 54,198,102,291.78/267,643.72
  6. Step 6: Final answer
    x = 202,500.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.