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Finding the Fourth Proportional to 101,524.89, 140,102.67 and 56,201.94

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Solution

The fourth proportional to 101,524.89, 140,102.67 and 56,201.94 is: 77,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.89 : 140,102.67 = 56,201.94 : x
  2. Step 2: Convert to fraction form
    101,524.89/140,102.67 = 56,201.94/x
  3. Step 3: Cross multiply
    101,524.89x = 140,102.67 × 56,201.94
  4. Step 4: Simplify right side
    101,524.89x = 7,874,041,853.18
  5. Step 5: Solve for x
    x = 7,874,041,853.18/101,524.89
  6. Step 6: Final answer
    x = 77,557.75

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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.