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Finding the Fourth Proportional to 205,772.04, 308,595.24 and 72,621.24

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Solution

The fourth proportional to 205,772.04, 308,595.24 and 72,621.24 is: 108,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,772.04 : 308,595.24 = 72,621.24 : x
  2. Step 2: Convert to fraction form
    205,772.04/308,595.24 = 72,621.24/x
  3. Step 3: Cross multiply
    205,772.04x = 308,595.24 × 72,621.24
  4. Step 4: Simplify right side
    205,772.04x = 22,410,568,986.90
  5. Step 5: Solve for x
    x = 22,410,568,986.90/205,772.04
  6. Step 6: Final answer
    x = 108,909.69

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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.