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Finding the Fourth Proportional to 142,037.64, 196,012.50 and 78,377.28

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Solution

The fourth proportional to 142,037.64, 196,012.50 and 78,377.28 is: 108,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,037.64 : 196,012.50 = 78,377.28 : x
  2. Step 2: Convert to fraction form
    142,037.64/196,012.50 = 78,377.28/x
  3. Step 3: Cross multiply
    142,037.64x = 196,012.50 × 78,377.28
  4. Step 4: Simplify right side
    142,037.64x = 15,362,926,596
  5. Step 5: Solve for x
    x = 15,362,926,596/142,037.64
  6. Step 6: Final answer
    x = 108,160.95

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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.