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Finding the Fourth Proportional to 207,735.76, 311,504.82 and 107,795.80

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Solution

The fourth proportional to 207,735.76, 311,504.82 and 107,795.80 is: 161,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,735.76 : 311,504.82 = 107,795.80 : x
  2. Step 2: Convert to fraction form
    207,735.76/311,504.82 = 107,795.80/x
  3. Step 3: Cross multiply
    207,735.76x = 311,504.82 × 107,795.80
  4. Step 4: Simplify right side
    207,735.76x = 33,578,911,275.76
  5. Step 5: Solve for x
    x = 33,578,911,275.76/207,735.76
  6. Step 6: Final answer
    x = 161,642.42

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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.