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Finding the Fourth Proportional to 150,206.99, 225,317.39 and 83,596.93

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Solution

The fourth proportional to 150,206.99, 225,317.39 and 83,596.93 is: 125,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,206.99 : 225,317.39 = 83,596.93 : x
  2. Step 2: Convert to fraction form
    150,206.99/225,317.39 = 83,596.93/x
  3. Step 3: Cross multiply
    150,206.99x = 225,317.39 × 83,596.93
  4. Step 4: Simplify right side
    150,206.99x = 18,835,841,098.33
  5. Step 5: Solve for x
    x = 18,835,841,098.33/150,206.99
  6. Step 6: Final answer
    x = 125,399.24

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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.