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Finding the Fourth Proportional to 225,703.50, 338,562.59 and 83,584.61

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Solution

The fourth proportional to 225,703.50, 338,562.59 and 83,584.61 is: 125,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,703.50 : 338,562.59 = 83,584.61 : x
  2. Step 2: Convert to fraction form
    225,703.50/338,562.59 = 83,584.61/x
  3. Step 3: Cross multiply
    225,703.50x = 338,562.59 × 83,584.61
  4. Step 4: Simplify right side
    225,703.50x = 28,298,621,204.61
  5. Step 5: Solve for x
    x = 28,298,621,204.61/225,703.50
  6. Step 6: Final answer
    x = 125,379.63

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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.