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Finding the Fourth Proportional to 111,164.64, 166,724.76 and 40,085.31

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Solution

The fourth proportional to 111,164.64, 166,724.76 and 40,085.31 is: 60,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,164.64 : 166,724.76 = 40,085.31 : x
  2. Step 2: Convert to fraction form
    111,164.64/166,724.76 = 40,085.31/x
  3. Step 3: Cross multiply
    111,164.64x = 166,724.76 × 40,085.31
  4. Step 4: Simplify right side
    111,164.64x = 6,683,213,689.28
  5. Step 5: Solve for x
    x = 6,683,213,689.28/111,164.64
  6. Step 6: Final answer
    x = 60,119.96

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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.