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Finding the Fourth Proportional to 101,944.50, 140,683.41 and 57,232.50

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Solution

The fourth proportional to 101,944.50, 140,683.41 and 57,232.50 is: 78,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,944.50 : 140,683.41 = 57,232.50 : x
  2. Step 2: Convert to fraction form
    101,944.50/140,683.41 = 57,232.50/x
  3. Step 3: Cross multiply
    101,944.50x = 140,683.41 × 57,232.50
  4. Step 4: Simplify right side
    101,944.50x = 8,051,663,262.83
  5. Step 5: Solve for x
    x = 8,051,663,262.83/101,944.50
  6. Step 6: Final answer
    x = 78,980.85

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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.