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Finding the Fourth Proportional to 205,444.40, 308,195.40 and 80,756.40

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Solution

The fourth proportional to 205,444.40, 308,195.40 and 80,756.40 is: 121,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,444.40 : 308,195.40 = 80,756.40 : x
  2. Step 2: Convert to fraction form
    205,444.40/308,195.40 = 80,756.40/x
  3. Step 3: Cross multiply
    205,444.40x = 308,195.40 × 80,756.40
  4. Step 4: Simplify right side
    205,444.40x = 24,888,751,000.56
  5. Step 5: Solve for x
    x = 24,888,751,000.56/205,444.40
  6. Step 6: Final answer
    x = 121,145.92

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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.