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Finding the Fourth Proportional to 206,244.48, 284,516.16 and 134,591.36

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Solution

The fourth proportional to 206,244.48, 284,516.16 and 134,591.36 is: 185,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,244.48 : 284,516.16 = 134,591.36 : x
  2. Step 2: Convert to fraction form
    206,244.48/284,516.16 = 134,591.36/x
  3. Step 3: Cross multiply
    206,244.48x = 284,516.16 × 134,591.36
  4. Step 4: Simplify right side
    206,244.48x = 38,293,416,916.38
  5. Step 5: Solve for x
    x = 38,293,416,916.38/206,244.48
  6. Step 6: Final answer
    x = 185,670.02

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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.