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Finding the Fourth Proportional to 140,495.26, 194,101.77 and 117,799.06

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Solution

The fourth proportional to 140,495.26, 194,101.77 and 117,799.06 is: 162,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,495.26 : 194,101.77 = 117,799.06 : x
  2. Step 2: Convert to fraction form
    140,495.26/194,101.77 = 117,799.06/x
  3. Step 3: Cross multiply
    140,495.26x = 194,101.77 × 117,799.06
  4. Step 4: Simplify right side
    140,495.26x = 22,865,006,050.34
  5. Step 5: Solve for x
    x = 22,865,006,050.34/140,495.26
  6. Step 6: Final answer
    x = 162,745.75

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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.