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Finding the Fourth Proportional to 206,768.25, 310,132.94 and 73,643.13

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Solution

The fourth proportional to 206,768.25, 310,132.94 and 73,643.13 is: 110,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,768.25 : 310,132.94 = 73,643.13 : x
  2. Step 2: Convert to fraction form
    206,768.25/310,132.94 = 73,643.13/x
  3. Step 3: Cross multiply
    206,768.25x = 310,132.94 × 73,643.13
  4. Step 4: Simplify right side
    206,768.25x = 22,839,160,049.49
  5. Step 5: Solve for x
    x = 22,839,160,049.49/206,768.25
  6. Step 6: Final answer
    x = 110,457.77

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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.