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Finding the Fourth Proportional to 206,330.54, 284,860.38 and 134,830.22

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Solution

The fourth proportional to 206,330.54, 284,860.38 and 134,830.22 is: 186,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,330.54 : 284,860.38 = 134,830.22 : x
  2. Step 2: Convert to fraction form
    206,330.54/284,860.38 = 134,830.22/x
  3. Step 3: Cross multiply
    206,330.54x = 284,860.38 × 134,830.22
  4. Step 4: Simplify right side
    206,330.54x = 38,407,787,704.68
  5. Step 5: Solve for x
    x = 38,407,787,704.68/206,330.54
  6. Step 6: Final answer
    x = 186,146.89

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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.