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Finding the Fourth Proportional to 136,908.54, 188,877.60 and 83,184.90

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Solution

The fourth proportional to 136,908.54, 188,877.60 and 83,184.90 is: 114,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908.54 : 188,877.60 = 83,184.90 : x
  2. Step 2: Convert to fraction form
    136,908.54/188,877.60 = 83,184.90/x
  3. Step 3: Cross multiply
    136,908.54x = 188,877.60 × 83,184.90
  4. Step 4: Simplify right side
    136,908.54x = 15,711,764,268.24
  5. Step 5: Solve for x
    x = 15,711,764,268.24/136,908.54
  6. Step 6: Final answer
    x = 114,761.02

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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.