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Finding the Fourth Proportional to 242,095, 363,200.84 and 75,883

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Solution

The fourth proportional to 242,095, 363,200.84 and 75,883 is: 113,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,095 : 363,200.84 = 75,883 : x
  2. Step 2: Convert to fraction form
    242,095/363,200.84 = 75,883/x
  3. Step 3: Cross multiply
    242,095x = 363,200.84 × 75,883
  4. Step 4: Simplify right side
    242,095x = 27,560,769,341.72
  5. Step 5: Solve for x
    x = 27,560,769,341.72/242,095
  6. Step 6: Final answer
    x = 113,842.79

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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.