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Finding the Fourth Proportional to 111,710.38, 167,684.92 and 45,193.98

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Solution

The fourth proportional to 111,710.38, 167,684.92 and 45,193.98 is: 67,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,710.38 : 167,684.92 = 45,193.98 : x
  2. Step 2: Convert to fraction form
    111,710.38/167,684.92 = 45,193.98/x
  3. Step 3: Cross multiply
    111,710.38x = 167,684.92 × 45,193.98
  4. Step 4: Simplify right side
    111,710.38x = 7,578,348,920.78
  5. Step 5: Solve for x
    x = 7,578,348,920.78/111,710.38
  6. Step 6: Final answer
    x = 67,839.25

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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.