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Finding the Fourth Proportional to 267,568.91, 369,240.87 and 146,711.19

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Solution

The fourth proportional to 267,568.91, 369,240.87 and 146,711.19 is: 202,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,568.91 : 369,240.87 = 146,711.19 : x
  2. Step 2: Convert to fraction form
    267,568.91/369,240.87 = 146,711.19/x
  3. Step 3: Cross multiply
    267,568.91x = 369,240.87 × 146,711.19
  4. Step 4: Simplify right side
    267,568.91x = 54,171,767,434.34
  5. Step 5: Solve for x
    x = 54,171,767,434.34/267,568.91
  6. Step 6: Final answer
    x = 202,459.13

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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.