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Finding the Fourth Proportional to 267,098.92, 368,582.50 and 146,217.04

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Solution

The fourth proportional to 267,098.92, 368,582.50 and 146,217.04 is: 201,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,098.92 : 368,582.50 = 146,217.04 : x
  2. Step 2: Convert to fraction form
    267,098.92/368,582.50 = 146,217.04/x
  3. Step 3: Cross multiply
    267,098.92x = 368,582.50 × 146,217.04
  4. Step 4: Simplify right side
    267,098.92x = 53,893,042,145.80
  5. Step 5: Solve for x
    x = 53,893,042,145.80/267,098.92
  6. Step 6: Final answer
    x = 201,771.85

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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.