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Finding the Fourth Proportional to 142,092.64, 196,083.92 and 78,425.76

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Solution

The fourth proportional to 142,092.64, 196,083.92 and 78,425.76 is: 108,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.64 : 196,083.92 = 78,425.76 : x
  2. Step 2: Convert to fraction form
    142,092.64/196,083.92 = 78,425.76/x
  3. Step 3: Cross multiply
    142,092.64x = 196,083.92 × 78,425.76
  4. Step 4: Simplify right side
    142,092.64x = 15,378,030,449.78
  5. Step 5: Solve for x
    x = 15,378,030,449.78/142,092.64
  6. Step 6: Final answer
    x = 108,225.38

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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.