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Finding the Fourth Proportional to 101,753.19, 140,410.12 and 56,431.03

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Solution

The fourth proportional to 101,753.19, 140,410.12 and 56,431.03 is: 77,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,753.19 : 140,410.12 = 56,431.03 : x
  2. Step 2: Convert to fraction form
    101,753.19/140,410.12 = 56,431.03/x
  3. Step 3: Cross multiply
    101,753.19x = 140,410.12 × 56,431.03
  4. Step 4: Simplify right side
    101,753.19x = 7,923,487,694.02
  5. Step 5: Solve for x
    x = 7,923,487,694.02/101,753.19
  6. Step 6: Final answer
    x = 77,869.68

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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.