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Finding the Fourth Proportional to 267,863.54, 369,650.51 and 147,006.78

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Solution

The fourth proportional to 267,863.54, 369,650.51 and 147,006.78 is: 202,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,863.54 : 369,650.51 = 147,006.78 : x
  2. Step 2: Convert to fraction form
    267,863.54/369,650.51 = 147,006.78/x
  3. Step 3: Cross multiply
    267,863.54x = 369,650.51 × 147,006.78
  4. Step 4: Simplify right side
    267,863.54x = 54,341,130,465.42
  5. Step 5: Solve for x
    x = 54,341,130,465.42/267,863.54
  6. Step 6: Final answer
    x = 202,868.71

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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.