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Finding the Fourth Proportional to 102,601.91, 141,649.52 and 78,211.38

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Solution

The fourth proportional to 102,601.91, 141,649.52 and 78,211.38 is: 107,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.91 : 141,649.52 = 78,211.38 : x
  2. Step 2: Convert to fraction form
    102,601.91/141,649.52 = 78,211.38/x
  3. Step 3: Cross multiply
    102,601.91x = 141,649.52 × 78,211.38
  4. Step 4: Simplify right side
    102,601.91x = 11,078,604,044.48
  5. Step 5: Solve for x
    x = 11,078,604,044.48/102,601.91
  6. Step 6: Final answer
    x = 107,976.59

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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.