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Finding the Fourth Proportional to 142,656.12, 196,863.02 and 78,992.55

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Solution

The fourth proportional to 142,656.12, 196,863.02 and 78,992.55 is: 109,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656.12 : 196,863.02 = 78,992.55 : x
  2. Step 2: Convert to fraction form
    142,656.12/196,863.02 = 78,992.55/x
  3. Step 3: Cross multiply
    142,656.12x = 196,863.02 × 78,992.55
  4. Step 4: Simplify right side
    142,656.12x = 15,550,711,950.50
  5. Step 5: Solve for x
    x = 15,550,711,950.50/142,656.12
  6. Step 6: Final answer
    x = 109,008.38

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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.