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Finding the Fourth Proportional to 208,691.60, 313,210.20 and 96,544.40

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Solution

The fourth proportional to 208,691.60, 313,210.20 and 96,544.40 is: 144,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,691.60 : 313,210.20 = 96,544.40 : x
  2. Step 2: Convert to fraction form
    208,691.60/313,210.20 = 96,544.40/x
  3. Step 3: Cross multiply
    208,691.60x = 313,210.20 × 96,544.40
  4. Step 4: Simplify right side
    208,691.60x = 30,238,690,832.88
  5. Step 5: Solve for x
    x = 30,238,690,832.88/208,691.60
  6. Step 6: Final answer
    x = 144,896.54

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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.