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Finding the Fourth Proportional to 217,414.22, 299,904.52 and 136,713.98

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Solution

The fourth proportional to 217,414.22, 299,904.52 and 136,713.98 is: 188,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.22 : 299,904.52 = 136,713.98 : x
  2. Step 2: Convert to fraction form
    217,414.22/299,904.52 = 136,713.98/x
  3. Step 3: Cross multiply
    217,414.22x = 299,904.52 × 136,713.98
  4. Step 4: Simplify right side
    217,414.22x = 41,001,138,707.88
  5. Step 5: Solve for x
    x = 41,001,138,707.88/217,414.22
  6. Step 6: Final answer
    x = 188,585.36

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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.