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Finding the Fourth Proportional to 101,654, 140,282.56 and 56,942

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Solution

The fourth proportional to 101,654, 140,282.56 and 56,942 is: 78,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,654 : 140,282.56 = 56,942 : x
  2. Step 2: Convert to fraction form
    101,654/140,282.56 = 56,942/x
  3. Step 3: Cross multiply
    101,654x = 140,282.56 × 56,942
  4. Step 4: Simplify right side
    101,654x = 7,987,969,531.52
  5. Step 5: Solve for x
    x = 7,987,969,531.52/101,654
  6. Step 6: Final answer
    x = 78,579.98

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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.