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Finding the Fourth Proportional to 276,550.14, 414,960.76 and 99,070.86

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Solution

The fourth proportional to 276,550.14, 414,960.76 and 99,070.86 is: 148,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,550.14 : 414,960.76 = 99,070.86 : x
  2. Step 2: Convert to fraction form
    276,550.14/414,960.76 = 99,070.86/x
  3. Step 3: Cross multiply
    276,550.14x = 414,960.76 × 99,070.86
  4. Step 4: Simplify right side
    276,550.14x = 41,110,519,359.45
  5. Step 5: Solve for x
    x = 41,110,519,359.45/276,550.14
  6. Step 6: Final answer
    x = 148,654.85

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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.