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Finding the Fourth Proportional to 256,058.60, 353,360.89 and 141,337.27

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Solution

The fourth proportional to 256,058.60, 353,360.89 and 141,337.27 is: 195,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,058.60 : 353,360.89 = 141,337.27 : x
  2. Step 2: Convert to fraction form
    256,058.60/353,360.89 = 141,337.27/x
  3. Step 3: Cross multiply
    256,058.60x = 353,360.89 × 141,337.27
  4. Step 4: Simplify right side
    256,058.60x = 49,943,063,517.37
  5. Step 5: Solve for x
    x = 49,943,063,517.37/256,058.60
  6. Step 6: Final answer
    x = 195,045.44

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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.