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Finding the Fourth Proportional to 111,710.36, 167,684.90 and 45,193.96

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Solution

The fourth proportional to 111,710.36, 167,684.90 and 45,193.96 is: 67,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,710.36 : 167,684.90 = 45,193.96 : x
  2. Step 2: Convert to fraction form
    111,710.36/167,684.90 = 45,193.96/x
  3. Step 3: Cross multiply
    111,710.36x = 167,684.90 × 45,193.96
  4. Step 4: Simplify right side
    111,710.36x = 7,578,344,663.20
  5. Step 5: Solve for x
    x = 7,578,344,663.20/111,710.36
  6. Step 6: Final answer
    x = 67,839.23

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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.