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Finding the Fourth Proportional to 267,193.59, 368,727.14 and 146,335.16

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Solution

The fourth proportional to 267,193.59, 368,727.14 and 146,335.16 is: 201,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,193.59 : 368,727.14 = 146,335.16 : x
  2. Step 2: Convert to fraction form
    267,193.59/368,727.14 = 146,335.16/x
  3. Step 3: Cross multiply
    267,193.59x = 368,727.14 × 146,335.16
  4. Step 4: Simplify right side
    267,193.59x = 53,957,743,184.61
  5. Step 5: Solve for x
    x = 53,957,743,184.61/267,193.59
  6. Step 6: Final answer
    x = 201,942.51

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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.