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Finding the Fourth Proportional to 136,089.24, 187,759.80 and 82,357.08

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Solution

The fourth proportional to 136,089.24, 187,759.80 and 82,357.08 is: 113,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,089.24 : 187,759.80 = 82,357.08 : x
  2. Step 2: Convert to fraction form
    136,089.24/187,759.80 = 82,357.08/x
  3. Step 3: Cross multiply
    136,089.24x = 187,759.80 × 82,357.08
  4. Step 4: Simplify right side
    136,089.24x = 15,463,348,869.38
  5. Step 5: Solve for x
    x = 15,463,348,869.38/136,089.24
  6. Step 6: Final answer
    x = 113,626.54

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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.