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Finding the Fourth Proportional to 256,091.96, 353,404.86 and 148,671.96

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Solution

The fourth proportional to 256,091.96, 353,404.86 and 148,671.96 is: 205,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,091.96 : 353,404.86 = 148,671.96 : x
  2. Step 2: Convert to fraction form
    256,091.96/353,404.86 = 148,671.96/x
  3. Step 3: Cross multiply
    256,091.96x = 353,404.86 × 148,671.96
  4. Step 4: Simplify right side
    256,091.96x = 52,541,393,209.73
  5. Step 5: Solve for x
    x = 52,541,393,209.73/256,091.96
  6. Step 6: Final answer
    x = 205,166.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.