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Finding the Fourth Proportional to 207,183.56, 310,775.33 and 137,046.47

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Solution

The fourth proportional to 207,183.56, 310,775.33 and 137,046.47 is: 205,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,183.56 : 310,775.33 = 137,046.47 : x
  2. Step 2: Convert to fraction form
    207,183.56/310,775.33 = 137,046.47/x
  3. Step 3: Cross multiply
    207,183.56x = 310,775.33 × 137,046.47
  4. Step 4: Simplify right side
    207,183.56x = 42,590,660,728.32
  5. Step 5: Solve for x
    x = 42,590,660,728.32/207,183.56
  6. Step 6: Final answer
    x = 205,569.70

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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.