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Finding the Fourth Proportional to 187,859.67, 259,246.35 and 102,974.91

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Solution

The fourth proportional to 187,859.67, 259,246.35 and 102,974.91 is: 142,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,859.67 : 259,246.35 = 102,974.91 : x
  2. Step 2: Convert to fraction form
    187,859.67/259,246.35 = 102,974.91/x
  3. Step 3: Cross multiply
    187,859.67x = 259,246.35 × 102,974.91
  4. Step 4: Simplify right side
    187,859.67x = 26,695,869,559.08
  5. Step 5: Solve for x
    x = 26,695,869,559.08/187,859.67
  6. Step 6: Final answer
    x = 142,105.38

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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.