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Finding the Fourth Proportional to 225,453.12, 338,235.84 and 67,684.48

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Solution

The fourth proportional to 225,453.12, 338,235.84 and 67,684.48 is: 101,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,453.12 : 338,235.84 = 67,684.48 : x
  2. Step 2: Convert to fraction form
    225,453.12/338,235.84 = 67,684.48/x
  3. Step 3: Cross multiply
    225,453.12x = 338,235.84 × 67,684.48
  4. Step 4: Simplify right side
    225,453.12x = 22,893,316,947.76
  5. Step 5: Solve for x
    x = 22,893,316,947.76/225,453.12
  6. Step 6: Final answer
    x = 101,543.58

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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.