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Finding the Fourth Proportional to 207,846.98, 311,645.84 and 101,020.54

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Solution

The fourth proportional to 207,846.98, 311,645.84 and 101,020.54 is: 151,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846.98 : 311,645.84 = 101,020.54 : x
  2. Step 2: Convert to fraction form
    207,846.98/311,645.84 = 101,020.54/x
  3. Step 3: Cross multiply
    207,846.98x = 311,645.84 × 101,020.54
  4. Step 4: Simplify right side
    207,846.98x = 31,482,631,045.55
  5. Step 5: Solve for x
    x = 31,482,631,045.55/207,846.98
  6. Step 6: Final answer
    x = 151,470.24

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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.