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Finding the Fourth Proportional to 256,314.98, 353,720.01 and 141,593.30

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Solution

The fourth proportional to 256,314.98, 353,720.01 and 141,593.30 is: 195,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,314.98 : 353,720.01 = 141,593.30 : x
  2. Step 2: Convert to fraction form
    256,314.98/353,720.01 = 141,593.30/x
  3. Step 3: Cross multiply
    256,314.98x = 353,720.01 × 141,593.30
  4. Step 4: Simplify right side
    256,314.98x = 50,084,383,491.93
  5. Step 5: Solve for x
    x = 50,084,383,491.93/256,314.98
  6. Step 6: Final answer
    x = 195,401.70

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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.