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Finding the Fourth Proportional to 267,126.32, 400,701.78 and 148,708.47

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Solution

The fourth proportional to 267,126.32, 400,701.78 and 148,708.47 is: 223,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,126.32 : 400,701.78 = 148,708.47 : x
  2. Step 2: Convert to fraction form
    267,126.32/400,701.78 = 148,708.47/x
  3. Step 3: Cross multiply
    267,126.32x = 400,701.78 × 148,708.47
  4. Step 4: Simplify right side
    267,126.32x = 59,587,746,569.79
  5. Step 5: Solve for x
    x = 59,587,746,569.79/267,126.32
  6. Step 6: Final answer
    x = 223,069.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.