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Finding the Fourth Proportional to 101,650.92, 140,274.24 and 56,330.82

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Solution

The fourth proportional to 101,650.92, 140,274.24 and 56,330.82 is: 77,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,650.92 : 140,274.24 = 56,330.82 : x
  2. Step 2: Convert to fraction form
    101,650.92/140,274.24 = 56,330.82/x
  3. Step 3: Cross multiply
    101,650.92x = 140,274.24 × 56,330.82
  4. Step 4: Simplify right side
    101,650.92x = 7,901,762,964.08
  5. Step 5: Solve for x
    x = 7,901,762,964.08/101,650.92
  6. Step 6: Final answer
    x = 77,734.30

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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.