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Finding the Fourth Proportional to 208,776, 313,163.16 and 75,625.10

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Solution

The fourth proportional to 208,776, 313,163.16 and 75,625.10 is: 113,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,776 : 313,163.16 = 75,625.10 : x
  2. Step 2: Convert to fraction form
    208,776/313,163.16 = 75,625.10/x
  3. Step 3: Cross multiply
    208,776x = 313,163.16 × 75,625.10
  4. Step 4: Simplify right side
    208,776x = 23,682,995,291.32
  5. Step 5: Solve for x
    x = 23,682,995,291.32/208,776
  6. Step 6: Final answer
    x = 113,437.35

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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.