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Finding the Fourth Proportional to 225,811.50, 338,699.93 and 83,589.98

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Solution

The fourth proportional to 225,811.50, 338,699.93 and 83,589.98 is: 125,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.50 : 338,699.93 = 83,589.98 : x
  2. Step 2: Convert to fraction form
    225,811.50/338,699.93 = 83,589.98/x
  3. Step 3: Cross multiply
    225,811.50x = 338,699.93 × 83,589.98
  4. Step 4: Simplify right side
    225,811.50x = 28,311,918,733.45
  5. Step 5: Solve for x
    x = 28,311,918,733.45/225,811.50
  6. Step 6: Final answer
    x = 125,378.55

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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.