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Finding the Fourth Proportional to 242,313.12, 363,443.76 and 84,544.56

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Solution

The fourth proportional to 242,313.12, 363,443.76 and 84,544.56 is: 126,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,313.12 : 363,443.76 = 84,544.56 : x
  2. Step 2: Convert to fraction form
    242,313.12/363,443.76 = 84,544.56/x
  3. Step 3: Cross multiply
    242,313.12x = 363,443.76 × 84,544.56
  4. Step 4: Simplify right side
    242,313.12x = 30,727,192,773.95
  5. Step 5: Solve for x
    x = 30,727,192,773.95/242,313.12
  6. Step 6: Final answer
    x = 126,807.80

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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.