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Finding the Fourth Proportional to 242,015.04, 363,057.12 and 75,816

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Solution

The fourth proportional to 242,015.04, 363,057.12 and 75,816 is: 113,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,015.04 : 363,057.12 = 75,816 : x
  2. Step 2: Convert to fraction form
    242,015.04/363,057.12 = 75,816/x
  3. Step 3: Cross multiply
    242,015.04x = 363,057.12 × 75,816
  4. Step 4: Simplify right side
    242,015.04x = 27,525,538,609.92
  5. Step 5: Solve for x
    x = 27,525,538,609.92/242,015.04
  6. Step 6: Final answer
    x = 113,734.83

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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.