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Finding the Fourth Proportional to 262,808.10, 394,114.95 and 85,320.90

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Solution

The fourth proportional to 262,808.10, 394,114.95 and 85,320.90 is: 127,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,808.10 : 394,114.95 = 85,320.90 : x
  2. Step 2: Convert to fraction form
    262,808.10/394,114.95 = 85,320.90/x
  3. Step 3: Cross multiply
    262,808.10x = 394,114.95 × 85,320.90
  4. Step 4: Simplify right side
    262,808.10x = 33,626,242,237.46
  5. Step 5: Solve for x
    x = 33,626,242,237.46/262,808.10
  6. Step 6: Final answer
    x = 127,949.79

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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.