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Finding the Fourth Proportional to 282,454.52, 423,681.34 and 72,092.44

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Solution

The fourth proportional to 282,454.52, 423,681.34 and 72,092.44 is: 108,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,454.52 : 423,681.34 = 72,092.44 : x
  2. Step 2: Convert to fraction form
    282,454.52/423,681.34 = 72,092.44/x
  3. Step 3: Cross multiply
    282,454.52x = 423,681.34 × 72,092.44
  4. Step 4: Simplify right side
    282,454.52x = 30,544,221,583.07
  5. Step 5: Solve for x
    x = 30,544,221,583.07/282,454.52
  6. Step 6: Final answer
    x = 108,138.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.