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Finding the Fourth Proportional to 101,794.29, 140,475.54 and 56,471.82

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Solution

The fourth proportional to 101,794.29, 140,475.54 and 56,471.82 is: 77,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,794.29 : 140,475.54 = 56,471.82 : x
  2. Step 2: Convert to fraction form
    101,794.29/140,475.54 = 56,471.82/x
  3. Step 3: Cross multiply
    101,794.29x = 140,475.54 × 56,471.82
  4. Step 4: Simplify right side
    101,794.29x = 7,932,909,409.28
  5. Step 5: Solve for x
    x = 7,932,909,409.28/101,794.29
  6. Step 6: Final answer
    x = 77,930.79

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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.