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Finding the Fourth Proportional to 143,877.52, 198,551.10 and 80,214.04

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Solution

The fourth proportional to 143,877.52, 198,551.10 and 80,214.04 is: 110,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,877.52 : 198,551.10 = 80,214.04 : x
  2. Step 2: Convert to fraction form
    143,877.52/198,551.10 = 80,214.04/x
  3. Step 3: Cross multiply
    143,877.52x = 198,551.10 × 80,214.04
  4. Step 4: Simplify right side
    143,877.52x = 15,926,585,877.44
  5. Step 5: Solve for x
    x = 15,926,585,877.44/143,877.52
  6. Step 6: Final answer
    x = 110,695.44

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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.