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Finding the Fourth Proportional to 266,614.32, 400,022.49 and 160,072.68

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Solution

The fourth proportional to 266,614.32, 400,022.49 and 160,072.68 is: 240,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,614.32 : 400,022.49 = 160,072.68 : x
  2. Step 2: Convert to fraction form
    266,614.32/400,022.49 = 160,072.68/x
  3. Step 3: Cross multiply
    266,614.32x = 400,022.49 × 160,072.68
  4. Step 4: Simplify right side
    266,614.32x = 64,032,672,034.57
  5. Step 5: Solve for x
    x = 64,032,672,034.57/266,614.32
  6. Step 6: Final answer
    x = 240,169.67

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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.