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Finding the Fourth Proportional to 111,826.70, 167,610.45 and 45,233.90

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Solution

The fourth proportional to 111,826.70, 167,610.45 and 45,233.90 is: 67,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,826.70 : 167,610.45 = 45,233.90 : x
  2. Step 2: Convert to fraction form
    111,826.70/167,610.45 = 45,233.90/x
  3. Step 3: Cross multiply
    111,826.70x = 167,610.45 × 45,233.90
  4. Step 4: Simplify right side
    111,826.70x = 7,581,674,334.26
  5. Step 5: Solve for x
    x = 7,581,674,334.26/111,826.70
  6. Step 6: Final answer
    x = 67,798.43

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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.