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Finding the Fourth Proportional to 256,150.98, 353,500.17 and 141,445.80

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Solution

The fourth proportional to 256,150.98, 353,500.17 and 141,445.80 is: 195,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,150.98 : 353,500.17 = 141,445.80 : x
  2. Step 2: Convert to fraction form
    256,150.98/353,500.17 = 141,445.80/x
  3. Step 3: Cross multiply
    256,150.98x = 353,500.17 × 141,445.80
  4. Step 4: Simplify right side
    256,150.98x = 50,001,114,345.79
  5. Step 5: Solve for x
    x = 50,001,114,345.79/256,150.98
  6. Step 6: Final answer
    x = 195,201.73

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