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Finding the Fourth Proportional to 256,231.35, 353,572.38 and 148,780.35

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Solution

The fourth proportional to 256,231.35, 353,572.38 and 148,780.35 is: 205,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,231.35 : 353,572.38 = 148,780.35 : x
  2. Step 2: Convert to fraction form
    256,231.35/353,572.38 = 148,780.35/x
  3. Step 3: Cross multiply
    256,231.35x = 353,572.38 × 148,780.35
  4. Step 4: Simplify right side
    256,231.35x = 52,604,622,446.73
  5. Step 5: Solve for x
    x = 52,604,622,446.73/256,231.35
  6. Step 6: Final answer
    x = 205,301.27

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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.