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Finding the Fourth Proportional to 198,200.70, 296,693.55 and 109,181.70

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Solution

The fourth proportional to 198,200.70, 296,693.55 and 109,181.70 is: 163,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,200.70 : 296,693.55 = 109,181.70 : x
  2. Step 2: Convert to fraction form
    198,200.70/296,693.55 = 109,181.70/x
  3. Step 3: Cross multiply
    198,200.70x = 296,693.55 × 109,181.70
  4. Step 4: Simplify right side
    198,200.70x = 32,393,506,168.04
  5. Step 5: Solve for x
    x = 32,393,506,168.04/198,200.70
  6. Step 6: Final answer
    x = 163,437.90

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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.