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Finding the Fourth Proportional to 136,265.64, 188,055.39 and 75,836.08

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Solution

The fourth proportional to 136,265.64, 188,055.39 and 75,836.08 is: 104,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,265.64 : 188,055.39 = 75,836.08 : x
  2. Step 2: Convert to fraction form
    136,265.64/188,055.39 = 75,836.08/x
  3. Step 3: Cross multiply
    136,265.64x = 188,055.39 × 75,836.08
  4. Step 4: Simplify right side
    136,265.64x = 14,261,383,600.47
  5. Step 5: Solve for x
    x = 14,261,383,600.47/136,265.64
  6. Step 6: Final answer
    x = 104,658.69

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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.