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Finding the Fourth Proportional to 267,724.64, 369,462.85 and 146,866.16

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Solution

The fourth proportional to 267,724.64, 369,462.85 and 146,866.16 is: 202,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,724.64 : 369,462.85 = 146,866.16 : x
  2. Step 2: Convert to fraction form
    267,724.64/369,462.85 = 146,866.16/x
  3. Step 3: Cross multiply
    267,724.64x = 369,462.85 × 146,866.16
  4. Step 4: Simplify right side
    267,724.64x = 54,261,587,827.68
  5. Step 5: Solve for x
    x = 54,261,587,827.68/267,724.64
  6. Step 6: Final answer
    x = 202,676.86

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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.