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Finding the Fourth Proportional to 148,092.53, 204,366.39 and 83,562.24

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Solution

The fourth proportional to 148,092.53, 204,366.39 and 83,562.24 is: 115,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,092.53 : 204,366.39 = 83,562.24 : x
  2. Step 2: Convert to fraction form
    148,092.53/204,366.39 = 83,562.24/x
  3. Step 3: Cross multiply
    148,092.53x = 204,366.39 × 83,562.24
  4. Step 4: Simplify right side
    148,092.53x = 17,077,313,329.11
  5. Step 5: Solve for x
    x = 17,077,313,329.11/148,092.53
  6. Step 6: Final answer
    x = 115,315.16

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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.