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Finding the Fourth Proportional to 234,057.60, 323,092.80 and 149,299.20

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Solution

The fourth proportional to 234,057.60, 323,092.80 and 149,299.20 is: 206,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,057.60 : 323,092.80 = 149,299.20 : x
  2. Step 2: Convert to fraction form
    234,057.60/323,092.80 = 149,299.20/x
  3. Step 3: Cross multiply
    234,057.60x = 323,092.80 × 149,299.20
  4. Step 4: Simplify right side
    234,057.60x = 48,237,496,565.76
  5. Step 5: Solve for x
    x = 48,237,496,565.76/234,057.60
  6. Step 6: Final answer
    x = 206,092.42

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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.