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Finding the Fourth Proportional to 101,586.24, 151,761.57 and 65,755.64

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Solution

The fourth proportional to 101,586.24, 151,761.57 and 65,755.64 is: 98,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586.24 : 151,761.57 = 65,755.64 : x
  2. Step 2: Convert to fraction form
    101,586.24/151,761.57 = 65,755.64/x
  3. Step 3: Cross multiply
    101,586.24x = 151,761.57 × 65,755.64
  4. Step 4: Simplify right side
    101,586.24x = 9,979,179,162.75
  5. Step 5: Solve for x
    x = 9,979,179,162.75/101,586.24
  6. Step 6: Final answer
    x = 98,233.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.