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Finding the Fourth Proportional to 225,940, 338,910 and 78,196

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Solution

The fourth proportional to 225,940, 338,910 and 78,196 is: 117,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,940 : 338,910 = 78,196 : x
  2. Step 2: Convert to fraction form
    225,940/338,910 = 78,196/x
  3. Step 3: Cross multiply
    225,940x = 338,910 × 78,196
  4. Step 4: Simplify right side
    225,940x = 26,501,406,360
  5. Step 5: Solve for x
    x = 26,501,406,360/225,940
  6. Step 6: Final answer
    x = 117,294

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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.