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Finding the Fourth Proportional to 242,116.75, 363,233.49 and 75,904.75

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Solution

The fourth proportional to 242,116.75, 363,233.49 and 75,904.75 is: 113,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,116.75 : 363,233.49 = 75,904.75 : x
  2. Step 2: Convert to fraction form
    242,116.75/363,233.49 = 75,904.75/x
  3. Step 3: Cross multiply
    242,116.75x = 363,233.49 × 75,904.75
  4. Step 4: Simplify right side
    242,116.75x = 27,571,147,250.08
  5. Step 5: Solve for x
    x = 27,571,147,250.08/242,116.75
  6. Step 6: Final answer
    x = 113,875.42

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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.