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Finding the Fourth Proportional to 101,780.66, 140,474.14 and 56,473.22

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Solution

The fourth proportional to 101,780.66, 140,474.14 and 56,473.22 is: 77,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780.66 : 140,474.14 = 56,473.22 : x
  2. Step 2: Convert to fraction form
    101,780.66/140,474.14 = 56,473.22/x
  3. Step 3: Cross multiply
    101,780.66x = 140,474.14 × 56,473.22
  4. Step 4: Simplify right side
    101,780.66x = 7,933,027,012.53
  5. Step 5: Solve for x
    x = 7,933,027,012.53/101,780.66
  6. Step 6: Final answer
    x = 77,942.38

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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.