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Finding the Fourth Proportional to 207,768.20, 310,874.70 and 137,784.20

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Solution

The fourth proportional to 207,768.20, 310,874.70 and 137,784.20 is: 206,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,768.20 : 310,874.70 = 137,784.20 : x
  2. Step 2: Convert to fraction form
    207,768.20/310,874.70 = 137,784.20/x
  3. Step 3: Cross multiply
    207,768.20x = 310,874.70 × 137,784.20
  4. Step 4: Simplify right side
    207,768.20x = 42,833,621,839.74
  5. Step 5: Solve for x
    x = 42,833,621,839.74/207,768.20
  6. Step 6: Final answer
    x = 206,160.62

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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.