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Finding the Fourth Proportional to 225,795.80, 338,650.47 and 113,444.85

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Solution

The fourth proportional to 225,795.80, 338,650.47 and 113,444.85 is: 170,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,795.80 : 338,650.47 = 113,444.85 : x
  2. Step 2: Convert to fraction form
    225,795.80/338,650.47 = 113,444.85/x
  3. Step 3: Cross multiply
    225,795.80x = 338,650.47 × 113,444.85
  4. Step 4: Simplify right side
    225,795.80x = 38,418,153,041.52
  5. Step 5: Solve for x
    x = 38,418,153,041.52/225,795.80
  6. Step 6: Final answer
    x = 170,145.56

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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.