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Finding the Fourth Proportional to 136,268.10, 188,048.61 and 75,837.78

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Solution

The fourth proportional to 136,268.10, 188,048.61 and 75,837.78 is: 104,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,268.10 : 188,048.61 = 75,837.78 : x
  2. Step 2: Convert to fraction form
    136,268.10/188,048.61 = 75,837.78/x
  3. Step 3: Cross multiply
    136,268.10x = 188,048.61 × 75,837.78
  4. Step 4: Simplify right side
    136,268.10x = 14,261,189,114.49
  5. Step 5: Solve for x
    x = 14,261,189,114.49/136,268.10
  6. Step 6: Final answer
    x = 104,655.38

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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.