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Finding the Fourth Proportional to 104,710.96, 144,496.90 and 56,964.50

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Solution

The fourth proportional to 104,710.96, 144,496.90 and 56,964.50 is: 78,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,710.96 : 144,496.90 = 56,964.50 : x
  2. Step 2: Convert to fraction form
    104,710.96/144,496.90 = 56,964.50/x
  3. Step 3: Cross multiply
    104,710.96x = 144,496.90 × 56,964.50
  4. Step 4: Simplify right side
    104,710.96x = 8,231,193,660.05
  5. Step 5: Solve for x
    x = 8,231,193,660.05/104,710.96
  6. Step 6: Final answer
    x = 78,608.71

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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.