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Finding the Fourth Proportional to 101,856.48, 140,563.44 and 56,537.38

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Solution

The fourth proportional to 101,856.48, 140,563.44 and 56,537.38 is: 78,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.48 : 140,563.44 = 56,537.38 : x
  2. Step 2: Convert to fraction form
    101,856.48/140,563.44 = 56,537.38/x
  3. Step 3: Cross multiply
    101,856.48x = 140,563.44 × 56,537.38
  4. Step 4: Simplify right side
    101,856.48x = 7,947,088,621.39
  5. Step 5: Solve for x
    x = 7,947,088,621.39/101,856.48
  6. Step 6: Final answer
    x = 78,022.42

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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.