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Finding the Fourth Proportional to 136,168.44, 204,259.16 and 42,675

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Solution

The fourth proportional to 136,168.44, 204,259.16 and 42,675 is: 64,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,168.44 : 204,259.16 = 42,675 : x
  2. Step 2: Convert to fraction form
    136,168.44/204,259.16 = 42,675/x
  3. Step 3: Cross multiply
    136,168.44x = 204,259.16 × 42,675
  4. Step 4: Simplify right side
    136,168.44x = 8,716,759,653
  5. Step 5: Solve for x
    x = 8,716,759,653/136,168.44
  6. Step 6: Final answer
    x = 64,014.54

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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.