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Finding the Fourth Proportional to 225,675.86, 338,440.01 and 75,875.94

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Solution

The fourth proportional to 225,675.86, 338,440.01 and 75,875.94 is: 113,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,675.86 : 338,440.01 = 75,875.94 : x
  2. Step 2: Convert to fraction form
    225,675.86/338,440.01 = 75,875.94/x
  3. Step 3: Cross multiply
    225,675.86x = 338,440.01 × 75,875.94
  4. Step 4: Simplify right side
    225,675.86x = 25,679,453,512.98
  5. Step 5: Solve for x
    x = 25,679,453,512.98/225,675.86
  6. Step 6: Final answer
    x = 113,789.10

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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.