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Finding the Fourth Proportional to 142,153.38, 196,169.31 and 78,489.54

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Solution

The fourth proportional to 142,153.38, 196,169.31 and 78,489.54 is: 108,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,153.38 : 196,169.31 = 78,489.54 : x
  2. Step 2: Convert to fraction form
    142,153.38/196,169.31 = 78,489.54/x
  3. Step 3: Cross multiply
    142,153.38x = 196,169.31 × 78,489.54
  4. Step 4: Simplify right side
    142,153.38x = 15,397,238,904.02
  5. Step 5: Solve for x
    x = 15,397,238,904.02/142,153.38
  6. Step 6: Final answer
    x = 108,314.27

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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.