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Finding the Fourth Proportional to 282,508.20, 389,593.80 and 185,541.48

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Solution

The fourth proportional to 282,508.20, 389,593.80 and 185,541.48 is: 255,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,508.20 : 389,593.80 = 185,541.48 : x
  2. Step 2: Convert to fraction form
    282,508.20/389,593.80 = 185,541.48/x
  3. Step 3: Cross multiply
    282,508.20x = 389,593.80 × 185,541.48
  4. Step 4: Simplify right side
    282,508.20x = 72,285,810,250.82
  5. Step 5: Solve for x
    x = 72,285,810,250.82/282,508.20
  6. Step 6: Final answer
    x = 255,871.55

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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.