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Finding the Fourth Proportional to 137,065.20, 205,727.40 and 84,577.20

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Solution

The fourth proportional to 137,065.20, 205,727.40 and 84,577.20 is: 126,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.20 : 205,727.40 = 84,577.20 : x
  2. Step 2: Convert to fraction form
    137,065.20/205,727.40 = 84,577.20/x
  3. Step 3: Cross multiply
    137,065.20x = 205,727.40 × 84,577.20
  4. Step 4: Simplify right side
    137,065.20x = 17,399,847,455.28
  5. Step 5: Solve for x
    x = 17,399,847,455.28/137,065.20
  6. Step 6: Final answer
    x = 126,945.77

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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.