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Finding the Fourth Proportional to 267,078.65, 368,568.62 and 146,227.61

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Solution

The fourth proportional to 267,078.65, 368,568.62 and 146,227.61 is: 201,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,078.65 : 368,568.62 = 146,227.61 : x
  2. Step 2: Convert to fraction form
    267,078.65/368,568.62 = 146,227.61/x
  3. Step 3: Cross multiply
    267,078.65x = 368,568.62 × 146,227.61
  4. Step 4: Simplify right side
    267,078.65x = 53,894,905,849.62
  5. Step 5: Solve for x
    x = 53,894,905,849.62/267,078.65
  6. Step 6: Final answer
    x = 201,794.14

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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.