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Finding the Fourth Proportional to 102,601.77, 141,649.34 and 78,211.26

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Solution

The fourth proportional to 102,601.77, 141,649.34 and 78,211.26 is: 107,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.77 : 141,649.34 = 78,211.26 : x
  2. Step 2: Convert to fraction form
    102,601.77/141,649.34 = 78,211.26/x
  3. Step 3: Cross multiply
    102,601.77x = 141,649.34 × 78,211.26
  4. Step 4: Simplify right side
    102,601.77x = 11,078,573,359.57
  5. Step 5: Solve for x
    x = 11,078,573,359.57/102,601.77
  6. Step 6: Final answer
    x = 107,976.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.