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Finding the Fourth Proportional to 268,956.71, 403,498.25 and 150,709.67

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Solution

The fourth proportional to 268,956.71, 403,498.25 and 150,709.67 is: 226,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,956.71 : 403,498.25 = 150,709.67 : x
  2. Step 2: Convert to fraction form
    268,956.71/403,498.25 = 150,709.67/x
  3. Step 3: Cross multiply
    268,956.71x = 403,498.25 × 150,709.67
  4. Step 4: Simplify right side
    268,956.71x = 60,811,088,103.08
  5. Step 5: Solve for x
    x = 60,811,088,103.08/268,956.71
  6. Step 6: Final answer
    x = 226,099.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.