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Finding the Fourth Proportional to 217,449.30, 300,211.26 and 142,129.02

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Solution

The fourth proportional to 217,449.30, 300,211.26 and 142,129.02 is: 196,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,449.30 : 300,211.26 = 142,129.02 : x
  2. Step 2: Convert to fraction form
    217,449.30/300,211.26 = 142,129.02/x
  3. Step 3: Cross multiply
    217,449.30x = 300,211.26 × 142,129.02
  4. Step 4: Simplify right side
    217,449.30x = 42,668,733,302.56
  5. Step 5: Solve for x
    x = 42,668,733,302.56/217,449.30
  6. Step 6: Final answer
    x = 196,223.82

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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.