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Finding the Fourth Proportional to 241,195.83, 361,793.74 and 83,338.17

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Solution

The fourth proportional to 241,195.83, 361,793.74 and 83,338.17 is: 125,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,195.83 : 361,793.74 = 83,338.17 : x
  2. Step 2: Convert to fraction form
    241,195.83/361,793.74 = 83,338.17/x
  3. Step 3: Cross multiply
    241,195.83x = 361,793.74 × 83,338.17
  4. Step 4: Simplify right side
    241,195.83x = 30,151,226,800.24
  5. Step 5: Solve for x
    x = 30,151,226,800.24/241,195.83
  6. Step 6: Final answer
    x = 125,007.25

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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.