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Finding the Fourth Proportional to 198,233.70, 296,743.05 and 109,214.70

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Solution

The fourth proportional to 198,233.70, 296,743.05 and 109,214.70 is: 163,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,233.70 : 296,743.05 = 109,214.70 : x
  2. Step 2: Convert to fraction form
    198,233.70/296,743.05 = 109,214.70/x
  3. Step 3: Cross multiply
    198,233.70x = 296,743.05 × 109,214.70
  4. Step 4: Simplify right side
    198,233.70x = 32,408,703,182.84
  5. Step 5: Solve for x
    x = 32,408,703,182.84/198,233.70
  6. Step 6: Final answer
    x = 163,487.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.