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Finding the Fourth Proportional to 364,109.99, 545,797.74 and 150,583.15

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Solution

The fourth proportional to 364,109.99, 545,797.74 and 150,583.15 is: 225,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,109.99 : 545,797.74 = 150,583.15 : x
  2. Step 2: Convert to fraction form
    364,109.99/545,797.74 = 150,583.15/x
  3. Step 3: Cross multiply
    364,109.99x = 545,797.74 × 150,583.15
  4. Step 4: Simplify right side
    364,109.99x = 82,187,944,199.02
  5. Step 5: Solve for x
    x = 82,187,944,199.02/364,109.99
  6. Step 6: Final answer
    x = 225,722.85

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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.