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Finding the Fourth Proportional to 101,958.96, 140,698.36 and 56,639.80

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Solution

The fourth proportional to 101,958.96, 140,698.36 and 56,639.80 is: 78,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.96 : 140,698.36 = 56,639.80 : x
  2. Step 2: Convert to fraction form
    101,958.96/140,698.36 = 56,639.80/x
  3. Step 3: Cross multiply
    101,958.96x = 140,698.36 × 56,639.80
  4. Step 4: Simplify right side
    101,958.96x = 7,969,126,970.73
  5. Step 5: Solve for x
    x = 7,969,126,970.73/101,958.96
  6. Step 6: Final answer
    x = 78,160.14

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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.