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Finding the Fourth Proportional to 114,683.97, 158,469.23 and 89,723.01

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Solution

The fourth proportional to 114,683.97, 158,469.23 and 89,723.01 is: 123,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,683.97 : 158,469.23 = 89,723.01 : x
  2. Step 2: Convert to fraction form
    114,683.97/158,469.23 = 89,723.01/x
  3. Step 3: Cross multiply
    114,683.97x = 158,469.23 × 89,723.01
  4. Step 4: Simplify right side
    114,683.97x = 14,218,335,859.37
  5. Step 5: Solve for x
    x = 14,218,335,859.37/114,683.97
  6. Step 6: Final answer
    x = 123,978.41

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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.