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Finding the Fourth Proportional to 201,734.70, 302,602.05 and 192,057.90

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Solution

The fourth proportional to 201,734.70, 302,602.05 and 192,057.90 is: 288,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734.70 : 302,602.05 = 192,057.90 : x
  2. Step 2: Convert to fraction form
    201,734.70/302,602.05 = 192,057.90/x
  3. Step 3: Cross multiply
    201,734.70x = 302,602.05 × 192,057.90
  4. Step 4: Simplify right side
    201,734.70x = 58,117,114,258.70
  5. Step 5: Solve for x
    x = 58,117,114,258.70/201,734.70
  6. Step 6: Final answer
    x = 288,086.85

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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.