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Finding the Fourth Proportional to 137,163.26, 205,754.00 and 52,924.47

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Solution

The fourth proportional to 137,163.26, 205,754.00 and 52,924.47 is: 79,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,163.26 : 205,754.00 = 52,924.47 : x
  2. Step 2: Convert to fraction form
    137,163.26/205,754.00 = 52,924.47/x
  3. Step 3: Cross multiply
    137,163.26x = 205,754.00 × 52,924.47
  4. Step 4: Simplify right side
    137,163.26x = 10,889,421,135.76
  5. Step 5: Solve for x
    x = 10,889,421,135.76/137,163.26
  6. Step 6: Final answer
    x = 79,390.22

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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.