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Finding the Fourth Proportional to 217,168.54, 299,318.23 and 144,441.27

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Solution

The fourth proportional to 217,168.54, 299,318.23 and 144,441.27 is: 199,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,168.54 : 299,318.23 = 144,441.27 : x
  2. Step 2: Convert to fraction form
    217,168.54/299,318.23 = 144,441.27/x
  3. Step 3: Cross multiply
    217,168.54x = 299,318.23 × 144,441.27
  4. Step 4: Simplify right side
    217,168.54x = 43,233,905,662.54
  5. Step 5: Solve for x
    x = 43,233,905,662.54/217,168.54
  6. Step 6: Final answer
    x = 199,079.97

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1.5x scale

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.