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Finding the Fourth Proportional to 217,141.81, 299,648.45 and 120,341.55

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Solution

The fourth proportional to 217,141.81, 299,648.45 and 120,341.55 is: 166,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,141.81 : 299,648.45 = 120,341.55 : x
  2. Step 2: Convert to fraction form
    217,141.81/299,648.45 = 120,341.55/x
  3. Step 3: Cross multiply
    217,141.81x = 299,648.45 × 120,341.55
  4. Step 4: Simplify right side
    217,141.81x = 36,060,158,928.10
  5. Step 5: Solve for x
    x = 36,060,158,928.10/217,141.81
  6. Step 6: Final answer
    x = 166,067.32

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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.