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Finding the Fourth Proportional to 267,813, 369,581.94 and 148,581

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Solution

The fourth proportional to 267,813, 369,581.94 and 148,581 is: 205,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,813 : 369,581.94 = 148,581 : x
  2. Step 2: Convert to fraction form
    267,813/369,581.94 = 148,581/x
  3. Step 3: Cross multiply
    267,813x = 369,581.94 × 148,581
  4. Step 4: Simplify right side
    267,813x = 54,912,854,227.14
  5. Step 5: Solve for x
    x = 54,912,854,227.14/267,813
  6. Step 6: Final answer
    x = 205,041.78

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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.