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Finding the Fourth Proportional to 142,572.95, 196,759.80 and 82,142.50

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Solution

The fourth proportional to 142,572.95, 196,759.80 and 82,142.50 is: 113,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.95 : 196,759.80 = 82,142.50 : x
  2. Step 2: Convert to fraction form
    142,572.95/196,759.80 = 82,142.50/x
  3. Step 3: Cross multiply
    142,572.95x = 196,759.80 × 82,142.50
  4. Step 4: Simplify right side
    142,572.95x = 16,162,341,195.74
  5. Step 5: Solve for x
    x = 16,162,341,195.74/142,572.95
  6. Step 6: Final answer
    x = 113,361.90

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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.