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Finding the Fourth Proportional to 267,647.52, 369,358.29 and 146,787.75

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Solution

The fourth proportional to 267,647.52, 369,358.29 and 146,787.75 is: 202,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,647.52 : 369,358.29 = 146,787.75 : x
  2. Step 2: Convert to fraction form
    267,647.52/369,358.29 = 146,787.75/x
  3. Step 3: Cross multiply
    267,647.52x = 369,358.29 × 146,787.75
  4. Step 4: Simplify right side
    267,647.52x = 54,217,272,332.95
  5. Step 5: Solve for x
    x = 54,217,272,332.95/267,647.52
  6. Step 6: Final answer
    x = 202,569.68

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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.