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Finding the Fourth Proportional to 225,781.68, 338,828.04 and 78,037.68

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Solution

The fourth proportional to 225,781.68, 338,828.04 and 78,037.68 is: 117,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,781.68 : 338,828.04 = 78,037.68 : x
  2. Step 2: Convert to fraction form
    225,781.68/338,828.04 = 78,037.68/x
  3. Step 3: Cross multiply
    225,781.68x = 338,828.04 × 78,037.68
  4. Step 4: Simplify right side
    225,781.68x = 26,441,354,160.55
  5. Step 5: Solve for x
    x = 26,441,354,160.55/225,781.68
  6. Step 6: Final answer
    x = 117,110.27

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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.