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Finding the Fourth Proportional to 148,542, 222,842.16 and 65,436

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Solution

The fourth proportional to 148,542, 222,842.16 and 65,436 is: 98,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542 : 222,842.16 = 65,436 : x
  2. Step 2: Convert to fraction form
    148,542/222,842.16 = 65,436/x
  3. Step 3: Cross multiply
    148,542x = 222,842.16 × 65,436
  4. Step 4: Simplify right side
    148,542x = 14,581,899,581.76
  5. Step 5: Solve for x
    x = 14,581,899,581.76/148,542
  6. Step 6: Final answer
    x = 98,166.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.