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Finding the Fourth Proportional to 267,841.68, 369,627.10 and 146,975.92

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Solution

The fourth proportional to 267,841.68, 369,627.10 and 146,975.92 is: 202,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,841.68 : 369,627.10 = 146,975.92 : x
  2. Step 2: Convert to fraction form
    267,841.68/369,627.10 = 146,975.92/x
  3. Step 3: Cross multiply
    267,841.68x = 369,627.10 × 146,975.92
  4. Step 4: Simplify right side
    267,841.68x = 54,326,283,079.43
  5. Step 5: Solve for x
    x = 54,326,283,079.43/267,841.68
  6. Step 6: Final answer
    x = 202,829.83

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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.