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Finding the Fourth Proportional to 242,722.80, 364,246.17 and 84,951.27

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Solution

The fourth proportional to 242,722.80, 364,246.17 and 84,951.27 is: 127,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,722.80 : 364,246.17 = 84,951.27 : x
  2. Step 2: Convert to fraction form
    242,722.80/364,246.17 = 84,951.27/x
  3. Step 3: Cross multiply
    242,722.80x = 364,246.17 × 84,951.27
  4. Step 4: Simplify right side
    242,722.80x = 30,943,174,734.14
  5. Step 5: Solve for x
    x = 30,943,174,734.14/242,722.80
  6. Step 6: Final answer
    x = 127,483.59

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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.