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Finding the Fourth Proportional to 234,439.82, 323,408.00 and 148,253.57

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Solution

The fourth proportional to 234,439.82, 323,408.00 and 148,253.57 is: 204,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,439.82 : 323,408.00 = 148,253.57 : x
  2. Step 2: Convert to fraction form
    234,439.82/323,408.00 = 148,253.57/x
  3. Step 3: Cross multiply
    234,439.82x = 323,408.00 × 148,253.57
  4. Step 4: Simplify right side
    234,439.82x = 47,946,389,825.29
  5. Step 5: Solve for x
    x = 47,946,389,825.29/234,439.82
  6. Step 6: Final answer
    x = 204,514.70

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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.