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Finding the Fourth Proportional to 99,840.87, 137,785.97 and 54,523.06

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Solution

The fourth proportional to 99,840.87, 137,785.97 and 54,523.06 is: 75,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840.87 : 137,785.97 = 54,523.06 : x
  2. Step 2: Convert to fraction form
    99,840.87/137,785.97 = 54,523.06/x
  3. Step 3: Cross multiply
    99,840.87x = 137,785.97 × 54,523.06
  4. Step 4: Simplify right side
    99,840.87x = 7,512,512,709.47
  5. Step 5: Solve for x
    x = 7,512,512,709.47/99,840.87
  6. Step 6: Final answer
    x = 75,244.86

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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.