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Finding the Fourth Proportional to 242,135.36, 363,194.24 and 84,363.20

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Solution

The fourth proportional to 242,135.36, 363,194.24 and 84,363.20 is: 126,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,135.36 : 363,194.24 = 84,363.20 : x
  2. Step 2: Convert to fraction form
    242,135.36/363,194.24 = 84,363.20/x
  3. Step 3: Cross multiply
    242,135.36x = 363,194.24 × 84,363.20
  4. Step 4: Simplify right side
    242,135.36x = 30,640,228,307.97
  5. Step 5: Solve for x
    x = 30,640,228,307.97/242,135.36
  6. Step 6: Final answer
    x = 126,541.73

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