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Finding the Fourth Proportional to 267,645.92, 369,356.09 and 146,786.15

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Solution

The fourth proportional to 267,645.92, 369,356.09 and 146,786.15 is: 202,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,645.92 : 369,356.09 = 146,786.15 : x
  2. Step 2: Convert to fraction form
    267,645.92/369,356.09 = 146,786.15/x
  3. Step 3: Cross multiply
    267,645.92x = 369,356.09 × 146,786.15
  4. Step 4: Simplify right side
    267,645.92x = 54,216,358,619.61
  5. Step 5: Solve for x
    x = 54,216,358,619.61/267,645.92
  6. Step 6: Final answer
    x = 202,567.48

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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.