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Finding the Fourth Proportional to 282,252.96, 389,508.90 and 159,743.10

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Solution

The fourth proportional to 282,252.96, 389,508.90 and 159,743.10 is: 220,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,252.96 : 389,508.90 = 159,743.10 : x
  2. Step 2: Convert to fraction form
    282,252.96/389,508.90 = 159,743.10/x
  3. Step 3: Cross multiply
    282,252.96x = 389,508.90 × 159,743.10
  4. Step 4: Simplify right side
    282,252.96x = 62,221,359,163.59
  5. Step 5: Solve for x
    x = 62,221,359,163.59/282,252.96
  6. Step 6: Final answer
    x = 220,445.37

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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.