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Finding the Fourth Proportional to 217,227.42, 299,459.70 and 152,499.56

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Solution

The fourth proportional to 217,227.42, 299,459.70 and 152,499.56 is: 210,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,227.42 : 299,459.70 = 152,499.56 : x
  2. Step 2: Convert to fraction form
    217,227.42/299,459.70 = 152,499.56/x
  3. Step 3: Cross multiply
    217,227.42x = 299,459.70 × 152,499.56
  4. Step 4: Simplify right side
    217,227.42x = 45,667,470,990.43
  5. Step 5: Solve for x
    x = 45,667,470,990.43/217,227.42
  6. Step 6: Final answer
    x = 210,228.85

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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.