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Finding the Fourth Proportional to 267,701.76, 369,431.28 and 146,843.28

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Solution

The fourth proportional to 267,701.76, 369,431.28 and 146,843.28 is: 202,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,701.76 : 369,431.28 = 146,843.28 : x
  2. Step 2: Convert to fraction form
    267,701.76/369,431.28 = 146,843.28/x
  3. Step 3: Cross multiply
    267,701.76x = 369,431.28 × 146,843.28
  4. Step 4: Simplify right side
    267,701.76x = 54,248,500,889.80
  5. Step 5: Solve for x
    x = 54,248,500,889.80/267,701.76
  6. Step 6: Final answer
    x = 202,645.29

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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.