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Finding the Fourth Proportional to 206,341.78, 284,758.79 and 115,698.83

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Solution

The fourth proportional to 206,341.78, 284,758.79 and 115,698.83 is: 159,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,341.78 : 284,758.79 = 115,698.83 : x
  2. Step 2: Convert to fraction form
    206,341.78/284,758.79 = 115,698.83/x
  3. Step 3: Cross multiply
    206,341.78x = 284,758.79 × 115,698.83
  4. Step 4: Simplify right side
    206,341.78x = 32,946,259,085.50
  5. Step 5: Solve for x
    x = 32,946,259,085.50/206,341.78
  6. Step 6: Final answer
    x = 159,668.39

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1.5x scale

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.