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Finding the Fourth Proportional to 202,952.40, 280,041.60 and 127,447.44

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Solution

The fourth proportional to 202,952.40, 280,041.60 and 127,447.44 is: 175,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.40 : 280,041.60 = 127,447.44 : x
  2. Step 2: Convert to fraction form
    202,952.40/280,041.60 = 127,447.44/x
  3. Step 3: Cross multiply
    202,952.40x = 280,041.60 × 127,447.44
  4. Step 4: Simplify right side
    202,952.40x = 35,690,585,013.50
  5. Step 5: Solve for x
    x = 35,690,585,013.50/202,952.40
  6. Step 6: Final answer
    x = 175,856.93

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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.