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Finding the Fourth Proportional to 137,846.56, 206,767.44 and 75,483.04

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Solution

The fourth proportional to 137,846.56, 206,767.44 and 75,483.04 is: 113,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.56 : 206,767.44 = 75,483.04 : x
  2. Step 2: Convert to fraction form
    137,846.56/206,767.44 = 75,483.04/x
  3. Step 3: Cross multiply
    137,846.56x = 206,767.44 × 75,483.04
  4. Step 4: Simplify right side
    137,846.56x = 15,607,434,944.22
  5. Step 5: Solve for x
    x = 15,607,434,944.22/137,846.56
  6. Step 6: Final answer
    x = 113,223.25

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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.