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Finding the Fourth Proportional to 101,932, 140,666.24 and 57,234.40

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Solution

The fourth proportional to 101,932, 140,666.24 and 57,234.40 is: 78,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,932 : 140,666.24 = 57,234.40 : x
  2. Step 2: Convert to fraction form
    101,932/140,666.24 = 57,234.40/x
  3. Step 3: Cross multiply
    101,932x = 140,666.24 × 57,234.40
  4. Step 4: Simplify right side
    101,932x = 8,050,947,846.66
  5. Step 5: Solve for x
    x = 8,050,947,846.66/101,932
  6. Step 6: Final answer
    x = 78,983.52

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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.