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Finding the Fourth Proportional to 256,288.56, 353,670.99 and 141,564.93

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Solution

The fourth proportional to 256,288.56, 353,670.99 and 141,564.93 is: 195,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,288.56 : 353,670.99 = 141,564.93 : x
  2. Step 2: Convert to fraction form
    256,288.56/353,670.99 = 141,564.93/x
  3. Step 3: Cross multiply
    256,288.56x = 353,670.99 × 141,564.93
  4. Step 4: Simplify right side
    256,288.56x = 50,067,408,942.38
  5. Step 5: Solve for x
    x = 50,067,408,942.38/256,288.56
  6. Step 6: Final answer
    x = 195,355.61

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1.5x scale

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.