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Finding the Fourth Proportional to 217,214.56, 299,725.68 and 121,713.76

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Solution

The fourth proportional to 217,214.56, 299,725.68 and 121,713.76 is: 167,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,214.56 : 299,725.68 = 121,713.76 : x
  2. Step 2: Convert to fraction form
    217,214.56/299,725.68 = 121,713.76/x
  3. Step 3: Cross multiply
    217,214.56x = 299,725.68 × 121,713.76
  4. Step 4: Simplify right side
    217,214.56x = 36,480,739,481.36
  5. Step 5: Solve for x
    x = 36,480,739,481.36/217,214.56
  6. Step 6: Final answer
    x = 167,947.95

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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.