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Finding the Fourth Proportional to 207,610.65, 311,415.98 and 49,839.10

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Solution

The fourth proportional to 207,610.65, 311,415.98 and 49,839.10 is: 74,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,610.65 : 311,415.98 = 49,839.10 : x
  2. Step 2: Convert to fraction form
    207,610.65/311,415.98 = 49,839.10/x
  3. Step 3: Cross multiply
    207,610.65x = 311,415.98 × 49,839.10
  4. Step 4: Simplify right side
    207,610.65x = 15,520,692,168.82
  5. Step 5: Solve for x
    x = 15,520,692,168.82/207,610.65
  6. Step 6: Final answer
    x = 74,758.65

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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.