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Finding the Fourth Proportional to 267,729.64, 369,469.74 and 146,871.16

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Solution

The fourth proportional to 267,729.64, 369,469.74 and 146,871.16 is: 202,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,729.64 : 369,469.74 = 146,871.16 : x
  2. Step 2: Convert to fraction form
    267,729.64/369,469.74 = 146,871.16/x
  3. Step 3: Cross multiply
    267,729.64x = 369,469.74 × 146,871.16
  4. Step 4: Simplify right side
    267,729.64x = 54,264,449,298.70
  5. Step 5: Solve for x
    x = 54,264,449,298.70/267,729.64
  6. Step 6: Final answer
    x = 202,683.76

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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.