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Finding the Fourth Proportional to 142,382.16, 196,481.16 and 77,850.18

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Solution

The fourth proportional to 142,382.16, 196,481.16 and 77,850.18 is: 107,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.16 : 196,481.16 = 77,850.18 : x
  2. Step 2: Convert to fraction form
    142,382.16/196,481.16 = 77,850.18/x
  3. Step 3: Cross multiply
    142,382.16x = 196,481.16 × 77,850.18
  4. Step 4: Simplify right side
    142,382.16x = 15,296,093,672.61
  5. Step 5: Solve for x
    x = 15,296,093,672.61/142,382.16
  6. Step 6: Final answer
    x = 107,429.85

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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.