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Finding the Fourth Proportional to 242,530.80, 363,796.20 and 76,318.80

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Solution

The fourth proportional to 242,530.80, 363,796.20 and 76,318.80 is: 114,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.80 : 363,796.20 = 76,318.80 : x
  2. Step 2: Convert to fraction form
    242,530.80/363,796.20 = 76,318.80/x
  3. Step 3: Cross multiply
    242,530.80x = 363,796.20 × 76,318.80
  4. Step 4: Simplify right side
    242,530.80x = 27,764,489,428.56
  5. Step 5: Solve for x
    x = 27,764,489,428.56/242,530.80
  6. Step 6: Final answer
    x = 114,478.20

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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.