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Finding the Fourth Proportional to 204,014.70, 305,941.91 and 69,041.60

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Solution

The fourth proportional to 204,014.70, 305,941.91 and 69,041.60 is: 103,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,014.70 : 305,941.91 = 69,041.60 : x
  2. Step 2: Convert to fraction form
    204,014.70/305,941.91 = 69,041.60/x
  3. Step 3: Cross multiply
    204,014.70x = 305,941.91 × 69,041.60
  4. Step 4: Simplify right side
    204,014.70x = 21,122,717,098.54
  5. Step 5: Solve for x
    x = 21,122,717,098.54/204,014.70
  6. Step 6: Final answer
    x = 103,535.27

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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.