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Finding the Fourth Proportional to 107,057.80, 160,586.70 and 71,806.60

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Solution

The fourth proportional to 107,057.80, 160,586.70 and 71,806.60 is: 107,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057.80 : 160,586.70 = 71,806.60 : x
  2. Step 2: Convert to fraction form
    107,057.80/160,586.70 = 71,806.60/x
  3. Step 3: Cross multiply
    107,057.80x = 160,586.70 × 71,806.60
  4. Step 4: Simplify right side
    107,057.80x = 11,531,184,932.22
  5. Step 5: Solve for x
    x = 11,531,184,932.22/107,057.80
  6. Step 6: Final answer
    x = 107,709.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.