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Finding the Fourth Proportional to 256,004.20, 353,285.07 and 141,282.01

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Solution

The fourth proportional to 256,004.20, 353,285.07 and 141,282.01 is: 194,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004.20 : 353,285.07 = 141,282.01 : x
  2. Step 2: Convert to fraction form
    256,004.20/353,285.07 = 141,282.01/x
  3. Step 3: Cross multiply
    256,004.20x = 353,285.07 × 141,282.01
  4. Step 4: Simplify right side
    256,004.20x = 49,912,826,095.36
  5. Step 5: Solve for x
    x = 49,912,826,095.36/256,004.20
  6. Step 6: Final answer
    x = 194,968.78

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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.