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Finding the Fourth Proportional to 267,531.68, 369,197.88 and 146,684

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Solution

The fourth proportional to 267,531.68, 369,197.88 and 146,684 is: 202,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,531.68 : 369,197.88 = 146,684 : x
  2. Step 2: Convert to fraction form
    267,531.68/369,197.88 = 146,684/x
  3. Step 3: Cross multiply
    267,531.68x = 369,197.88 × 146,684
  4. Step 4: Simplify right side
    267,531.68x = 54,155,421,829.92
  5. Step 5: Solve for x
    x = 54,155,421,829.92/267,531.68
  6. Step 6: Final answer
    x = 202,426.20

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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.