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Finding the Fourth Proportional to 101,963.93, 140,706.30 and 56,644.76

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Solution

The fourth proportional to 101,963.93, 140,706.30 and 56,644.76 is: 78,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,963.93 : 140,706.30 = 56,644.76 : x
  2. Step 2: Convert to fraction form
    101,963.93/140,706.30 = 56,644.76/x
  3. Step 3: Cross multiply
    101,963.93x = 140,706.30 × 56,644.76
  4. Step 4: Simplify right side
    101,963.93x = 7,970,274,593.99
  5. Step 5: Solve for x
    x = 7,970,274,593.99/101,963.93
  6. Step 6: Final answer
    x = 78,167.59

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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.