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Finding the Fourth Proportional to 114,496.38, 157,975.11 and 66,086.46

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Solution

The fourth proportional to 114,496.38, 157,975.11 and 66,086.46 is: 91,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,496.38 : 157,975.11 = 66,086.46 : x
  2. Step 2: Convert to fraction form
    114,496.38/157,975.11 = 66,086.46/x
  3. Step 3: Cross multiply
    114,496.38x = 157,975.11 × 66,086.46
  4. Step 4: Simplify right side
    114,496.38x = 10,440,015,788.01
  5. Step 5: Solve for x
    x = 10,440,015,788.01/114,496.38
  6. Step 6: Final answer
    x = 91,182.06

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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.