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Finding the Fourth Proportional to 282,347.38, 389,645.68 and 155,023.48

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Solution

The fourth proportional to 282,347.38, 389,645.68 and 155,023.48 is: 213,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,347.38 : 389,645.68 = 155,023.48 : x
  2. Step 2: Convert to fraction form
    282,347.38/389,645.68 = 155,023.48/x
  3. Step 3: Cross multiply
    282,347.38x = 389,645.68 × 155,023.48
  4. Step 4: Simplify right side
    282,347.38x = 60,404,229,280.57
  5. Step 5: Solve for x
    x = 60,404,229,280.57/282,347.38
  6. Step 6: Final answer
    x = 213,935.86

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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.