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Finding the Fourth Proportional to 266,813.97, 400,032.23 and 133,598.67

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Solution

The fourth proportional to 266,813.97, 400,032.23 and 133,598.67 is: 200,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,813.97 : 400,032.23 = 133,598.67 : x
  2. Step 2: Convert to fraction form
    266,813.97/400,032.23 = 133,598.67/x
  3. Step 3: Cross multiply
    266,813.97x = 400,032.23 × 133,598.67
  4. Step 4: Simplify right side
    266,813.97x = 53,443,773,217.14
  5. Step 5: Solve for x
    x = 53,443,773,217.14/266,813.97
  6. Step 6: Final answer
    x = 200,303.50

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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.