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Finding the Fourth Proportional to 164,552.68, 246,500.16 and 75,684.34

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Solution

The fourth proportional to 164,552.68, 246,500.16 and 75,684.34 is: 113,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,552.68 : 246,500.16 = 75,684.34 : x
  2. Step 2: Convert to fraction form
    164,552.68/246,500.16 = 75,684.34/x
  3. Step 3: Cross multiply
    164,552.68x = 246,500.16 × 75,684.34
  4. Step 4: Simplify right side
    164,552.68x = 18,656,201,919.49
  5. Step 5: Solve for x
    x = 18,656,201,919.49/164,552.68
  6. Step 6: Final answer
    x = 113,375.25

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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.