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Finding the Fourth Proportional to 242,672.10, 363,910.95 and 84,819.30

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Solution

The fourth proportional to 242,672.10, 363,910.95 and 84,819.30 is: 127,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,672.10 : 363,910.95 = 84,819.30 : x
  2. Step 2: Convert to fraction form
    242,672.10/363,910.95 = 84,819.30/x
  3. Step 3: Cross multiply
    242,672.10x = 363,910.95 × 84,819.30
  4. Step 4: Simplify right side
    242,672.10x = 30,866,672,041.34
  5. Step 5: Solve for x
    x = 30,866,672,041.34/242,672.10
  6. Step 6: Final answer
    x = 127,194.98

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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.