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Finding the Fourth Proportional to 144,474, 199,382.96 and 80,816.08

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Solution

The fourth proportional to 144,474, 199,382.96 and 80,816.08 is: 111,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,474 : 199,382.96 = 80,816.08 : x
  2. Step 2: Convert to fraction form
    144,474/199,382.96 = 80,816.08/x
  3. Step 3: Cross multiply
    144,474x = 199,382.96 × 80,816.08
  4. Step 4: Simplify right side
    144,474x = 16,113,349,246.00
  5. Step 5: Solve for x
    x = 16,113,349,246.00/144,474
  6. Step 6: Final answer
    x = 111,531.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.