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Finding the Fourth Proportional to 148,360, 204,736.80 and 81,290.56

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Solution

The fourth proportional to 148,360, 204,736.80 and 81,290.56 is: 112,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,360 : 204,736.80 = 81,290.56 : x
  2. Step 2: Convert to fraction form
    148,360/204,736.80 = 81,290.56/x
  3. Step 3: Cross multiply
    148,360x = 204,736.80 × 81,290.56
  4. Step 4: Simplify right side
    148,360x = 16,643,169,124.61
  5. Step 5: Solve for x
    x = 16,643,169,124.61/148,360
  6. Step 6: Final answer
    x = 112,180.97

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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.