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Finding the Fourth Proportional to 189,766.29, 284,696.13 and 133,715.82

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Solution

The fourth proportional to 189,766.29, 284,696.13 and 133,715.82 is: 200,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,766.29 : 284,696.13 = 133,715.82 : x
  2. Step 2: Convert to fraction form
    189,766.29/284,696.13 = 133,715.82/x
  3. Step 3: Cross multiply
    189,766.29x = 284,696.13 × 133,715.82
  4. Step 4: Simplify right side
    189,766.29x = 38,068,376,473.78
  5. Step 5: Solve for x
    x = 38,068,376,473.78/189,766.29
  6. Step 6: Final answer
    x = 200,606.63

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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.