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Finding the Fourth Proportional to 142,614, 196,797.60 and 78,948

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Solution

The fourth proportional to 142,614, 196,797.60 and 78,948 is: 108,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,614 : 196,797.60 = 78,948 : x
  2. Step 2: Convert to fraction form
    142,614/196,797.60 = 78,948/x
  3. Step 3: Cross multiply
    142,614x = 196,797.60 × 78,948
  4. Step 4: Simplify right side
    142,614x = 15,536,776,924.80
  5. Step 5: Solve for x
    x = 15,536,776,924.80/142,614
  6. Step 6: Final answer
    x = 108,942.86

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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.