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Finding the Fourth Proportional to 140,465.44, 210,781.26 and 51,781.24

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Solution

The fourth proportional to 140,465.44, 210,781.26 and 51,781.24 is: 77,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,465.44 : 210,781.26 = 51,781.24 : x
  2. Step 2: Convert to fraction form
    140,465.44/210,781.26 = 51,781.24/x
  3. Step 3: Cross multiply
    140,465.44x = 210,781.26 × 51,781.24
  4. Step 4: Simplify right side
    140,465.44x = 10,914,515,011.56
  5. Step 5: Solve for x
    x = 10,914,515,011.56/140,465.44
  6. Step 6: Final answer
    x = 77,702.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.