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Finding the Fourth Proportional to 142,585.17, 196,816.71 and 82,179.87

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Solution

The fourth proportional to 142,585.17, 196,816.71 and 82,179.87 is: 113,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,585.17 : 196,816.71 = 82,179.87 : x
  2. Step 2: Convert to fraction form
    142,585.17/196,816.71 = 82,179.87/x
  3. Step 3: Cross multiply
    142,585.17x = 196,816.71 × 82,179.87
  4. Step 4: Simplify right side
    142,585.17x = 16,174,371,641.63
  5. Step 5: Solve for x
    x = 16,174,371,641.63/142,585.17
  6. Step 6: Final answer
    x = 113,436.56

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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.