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Finding the Fourth Proportional to 187,853.55, 259,247.84 and 102,974.19

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Solution

The fourth proportional to 187,853.55, 259,247.84 and 102,974.19 is: 142,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,853.55 : 259,247.84 = 102,974.19 : x
  2. Step 2: Convert to fraction form
    187,853.55/259,247.84 = 102,974.19/x
  3. Step 3: Cross multiply
    187,853.55x = 259,247.84 × 102,974.19
  4. Step 4: Simplify right side
    187,853.55x = 26,695,835,818.38
  5. Step 5: Solve for x
    x = 26,695,835,818.38/187,853.55
  6. Step 6: Final answer
    x = 142,109.83

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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.