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Finding the Fourth Proportional to 217,833.66, 300,643.83 and 133,000.38

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Solution

The fourth proportional to 217,833.66, 300,643.83 and 133,000.38 is: 183,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,833.66 : 300,643.83 = 133,000.38 : x
  2. Step 2: Convert to fraction form
    217,833.66/300,643.83 = 133,000.38/x
  3. Step 3: Cross multiply
    217,833.66x = 300,643.83 × 133,000.38
  4. Step 4: Simplify right side
    217,833.66x = 39,985,743,634.66
  5. Step 5: Solve for x
    x = 39,985,743,634.66/217,833.66
  6. Step 6: Final answer
    x = 183,560.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.