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Finding the Fourth Proportional to 187,082.75, 280,647.97 and 85,856.24

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Solution

The fourth proportional to 187,082.75, 280,647.97 and 85,856.24 is: 128,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082.75 : 280,647.97 = 85,856.24 : x
  2. Step 2: Convert to fraction form
    187,082.75/280,647.97 = 85,856.24/x
  3. Step 3: Cross multiply
    187,082.75x = 280,647.97 × 85,856.24
  4. Step 4: Simplify right side
    187,082.75x = 24,095,379,467.83
  5. Step 5: Solve for x
    x = 24,095,379,467.83/187,082.75
  6. Step 6: Final answer
    x = 128,795.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.