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Finding the Fourth Proportional to 242,198.80, 363,194.52 and 75,999.76

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Solution

The fourth proportional to 242,198.80, 363,194.52 and 75,999.76 is: 113,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,198.80 : 363,194.52 = 75,999.76 : x
  2. Step 2: Convert to fraction form
    242,198.80/363,194.52 = 75,999.76/x
  3. Step 3: Cross multiply
    242,198.80x = 363,194.52 × 75,999.76
  4. Step 4: Simplify right side
    242,198.80x = 27,602,696,353.32
  5. Step 5: Solve for x
    x = 27,602,696,353.32/242,198.80
  6. Step 6: Final answer
    x = 113,967.11

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1.5x scale

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.