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Finding the Fourth Proportional to 217,238.35, 299,806.68 and 120,472.51

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Solution

The fourth proportional to 217,238.35, 299,806.68 and 120,472.51 is: 166,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,238.35 : 299,806.68 = 120,472.51 : x
  2. Step 2: Convert to fraction form
    217,238.35/299,806.68 = 120,472.51/x
  3. Step 3: Cross multiply
    217,238.35x = 299,806.68 × 120,472.51
  4. Step 4: Simplify right side
    217,238.35x = 36,118,462,502.27
  5. Step 5: Solve for x
    x = 36,118,462,502.27/217,238.35
  6. Step 6: Final answer
    x = 166,261.91

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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.