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Finding the Fourth Proportional to 142,086.60, 196,065.52 and 78,420.30

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Solution

The fourth proportional to 142,086.60, 196,065.52 and 78,420.30 is: 108,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.60 : 196,065.52 = 78,420.30 : x
  2. Step 2: Convert to fraction form
    142,086.60/196,065.52 = 78,420.30/x
  3. Step 3: Cross multiply
    142,086.60x = 196,065.52 × 78,420.30
  4. Step 4: Simplify right side
    142,086.60x = 15,375,516,898.06
  5. Step 5: Solve for x
    x = 15,375,516,898.06/142,086.60
  6. Step 6: Final answer
    x = 108,212.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.