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Finding the Fourth Proportional to 99,546.90, 137,373.21 and 54,834.90

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Solution

The fourth proportional to 99,546.90, 137,373.21 and 54,834.90 is: 75,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546.90 : 137,373.21 = 54,834.90 : x
  2. Step 2: Convert to fraction form
    99,546.90/137,373.21 = 54,834.90/x
  3. Step 3: Cross multiply
    99,546.90x = 137,373.21 × 54,834.90
  4. Step 4: Simplify right side
    99,546.90x = 7,532,846,233.03
  5. Step 5: Solve for x
    x = 7,532,846,233.03/99,546.90
  6. Step 6: Final answer
    x = 75,671.33

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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.