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Finding the Fourth Proportional to 101,614.52, 140,181.36 and 65,816.48

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Solution

The fourth proportional to 101,614.52, 140,181.36 and 65,816.48 is: 90,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,614.52 : 140,181.36 = 65,816.48 : x
  2. Step 2: Convert to fraction form
    101,614.52/140,181.36 = 65,816.48/x
  3. Step 3: Cross multiply
    101,614.52x = 140,181.36 × 65,816.48
  4. Step 4: Simplify right side
    101,614.52x = 9,226,243,676.81
  5. Step 5: Solve for x
    x = 9,226,243,676.81/101,614.52
  6. Step 6: Final answer
    x = 90,796.51

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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.