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Finding the Fourth Proportional to 234,197, 323,103.66 and 153,668.96

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Solution

The fourth proportional to 234,197, 323,103.66 and 153,668.96 is: 212,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,197 : 323,103.66 = 153,668.96 : x
  2. Step 2: Convert to fraction form
    234,197/323,103.66 = 153,668.96/x
  3. Step 3: Cross multiply
    234,197x = 323,103.66 × 153,668.96
  4. Step 4: Simplify right side
    234,197x = 49,651,003,404.39
  5. Step 5: Solve for x
    x = 49,651,003,404.39/234,197
  6. Step 6: Final answer
    x = 212,005.29

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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.