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Finding the Fourth Proportional to 262,069.87, 361,156.07 and 225,759.90

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Solution

The fourth proportional to 262,069.87, 361,156.07 and 225,759.90 is: 311,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,069.87 : 361,156.07 = 225,759.90 : x
  2. Step 2: Convert to fraction form
    262,069.87/361,156.07 = 225,759.90/x
  3. Step 3: Cross multiply
    262,069.87x = 361,156.07 × 225,759.90
  4. Step 4: Simplify right side
    262,069.87x = 81,534,558,247.59
  5. Step 5: Solve for x
    x = 81,534,558,247.59/262,069.87
  6. Step 6: Final answer
    x = 311,117.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.