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Finding the Fourth Proportional to 225,867, 338,807.52 and 83,747.64

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Solution

The fourth proportional to 225,867, 338,807.52 and 83,747.64 is: 125,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867 : 338,807.52 = 83,747.64 : x
  2. Step 2: Convert to fraction form
    225,867/338,807.52 = 83,747.64/x
  3. Step 3: Cross multiply
    225,867x = 338,807.52 × 83,747.64
  4. Step 4: Simplify right side
    225,867x = 28,374,330,214.25
  5. Step 5: Solve for x
    x = 28,374,330,214.25/225,867
  6. Step 6: Final answer
    x = 125,624.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.