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Finding the Fourth Proportional to 208,358.24, 312,546.02 and 60,614.24

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Solution

The fourth proportional to 208,358.24, 312,546.02 and 60,614.24 is: 90,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358.24 : 312,546.02 = 60,614.24 : x
  2. Step 2: Convert to fraction form
    208,358.24/312,546.02 = 60,614.24/x
  3. Step 3: Cross multiply
    208,358.24x = 312,546.02 × 60,614.24
  4. Step 4: Simplify right side
    208,358.24x = 18,944,739,467.32
  5. Step 5: Solve for x
    x = 18,944,739,467.32/208,358.24
  6. Step 6: Final answer
    x = 90,923.88

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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.