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Finding the Fourth Proportional to 317,033.10, 475,614.45 and 106,692.30

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Solution

The fourth proportional to 317,033.10, 475,614.45 and 106,692.30 is: 160,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,033.10 : 475,614.45 = 106,692.30 : x
  2. Step 2: Convert to fraction form
    317,033.10/475,614.45 = 106,692.30/x
  3. Step 3: Cross multiply
    317,033.10x = 475,614.45 × 106,692.30
  4. Step 4: Simplify right side
    317,033.10x = 50,744,399,583.74
  5. Step 5: Solve for x
    x = 50,744,399,583.74/317,033.10
  6. Step 6: Final answer
    x = 160,060.26

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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.