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Finding the Fourth Proportional to 201,972.70, 302,764.65 and 156,969.10

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Solution

The fourth proportional to 201,972.70, 302,764.65 and 156,969.10 is: 235,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,972.70 : 302,764.65 = 156,969.10 : x
  2. Step 2: Convert to fraction form
    201,972.70/302,764.65 = 156,969.10/x
  3. Step 3: Cross multiply
    201,972.70x = 302,764.65 × 156,969.10
  4. Step 4: Simplify right side
    201,972.70x = 47,524,694,622.32
  5. Step 5: Solve for x
    x = 47,524,694,622.32/201,972.70
  6. Step 6: Final answer
    x = 235,302.57

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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.