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Finding the Fourth Proportional to 148,116.70, 204,406.31 and 83,601.65

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Solution

The fourth proportional to 148,116.70, 204,406.31 and 83,601.65 is: 115,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,116.70 : 204,406.31 = 83,601.65 : x
  2. Step 2: Convert to fraction form
    148,116.70/204,406.31 = 83,601.65/x
  3. Step 3: Cross multiply
    148,116.70x = 204,406.31 × 83,601.65
  4. Step 4: Simplify right side
    148,116.70x = 17,088,704,269.65
  5. Step 5: Solve for x
    x = 17,088,704,269.65/148,116.70
  6. Step 6: Final answer
    x = 115,373.24

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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.