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Finding the Fourth Proportional to 217,642.36, 300,057.74 and 142,059.64

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Solution

The fourth proportional to 217,642.36, 300,057.74 and 142,059.64 is: 195,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,642.36 : 300,057.74 = 142,059.64 : x
  2. Step 2: Convert to fraction form
    217,642.36/300,057.74 = 142,059.64/x
  3. Step 3: Cross multiply
    217,642.36x = 300,057.74 × 142,059.64
  4. Step 4: Simplify right side
    217,642.36x = 42,626,094,523.61
  5. Step 5: Solve for x
    x = 42,626,094,523.61/217,642.36
  6. Step 6: Final answer
    x = 195,853.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.