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Finding the Fourth Proportional to 201,948.30, 302,922.45 and 68,816.70

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Solution

The fourth proportional to 201,948.30, 302,922.45 and 68,816.70 is: 103,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,948.30 : 302,922.45 = 68,816.70 : x
  2. Step 2: Convert to fraction form
    201,948.30/302,922.45 = 68,816.70/x
  3. Step 3: Cross multiply
    201,948.30x = 302,922.45 × 68,816.70
  4. Step 4: Simplify right side
    201,948.30x = 20,846,123,364.92
  5. Step 5: Solve for x
    x = 20,846,123,364.92/201,948.30
  6. Step 6: Final answer
    x = 103,225.05

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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.