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Finding the Fourth Proportional to 242,109.75, 363,166.44 and 84,337.95

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Solution

The fourth proportional to 242,109.75, 363,166.44 and 84,337.95 is: 126,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,109.75 : 363,166.44 = 84,337.95 : x
  2. Step 2: Convert to fraction form
    242,109.75/363,166.44 = 84,337.95/x
  3. Step 3: Cross multiply
    242,109.75x = 363,166.44 × 84,337.95
  4. Step 4: Simplify right side
    242,109.75x = 30,628,713,058.40
  5. Step 5: Solve for x
    x = 30,628,713,058.40/242,109.75
  6. Step 6: Final answer
    x = 126,507.56

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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.