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Finding the Fourth Proportional to 144,045.57, 198,784.40 and 80,382

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Solution

The fourth proportional to 144,045.57, 198,784.40 and 80,382 is: 110,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,045.57 : 198,784.40 = 80,382 : x
  2. Step 2: Convert to fraction form
    144,045.57/198,784.40 = 80,382/x
  3. Step 3: Cross multiply
    144,045.57x = 198,784.40 × 80,382
  4. Step 4: Simplify right side
    144,045.57x = 15,978,687,238.89
  5. Step 5: Solve for x
    x = 15,978,687,238.89/144,045.57
  6. Step 6: Final answer
    x = 110,928.00

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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.