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Finding the Fourth Proportional to 101,754.62, 140,416.44 and 56,434.40

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Solution

The fourth proportional to 101,754.62, 140,416.44 and 56,434.40 is: 77,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754.62 : 140,416.44 = 56,434.40 : x
  2. Step 2: Convert to fraction form
    101,754.62/140,416.44 = 56,434.40/x
  3. Step 3: Cross multiply
    101,754.62x = 140,416.44 × 56,434.40
  4. Step 4: Simplify right side
    101,754.62x = 7,924,317,541.54
  5. Step 5: Solve for x
    x = 7,924,317,541.54/101,754.62
  6. Step 6: Final answer
    x = 77,876.73

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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.