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Finding the Fourth Proportional to 150,647.94, 225,973.19 and 38,328.26

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Solution

The fourth proportional to 150,647.94, 225,973.19 and 38,328.26 is: 57,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,647.94 : 225,973.19 = 38,328.26 : x
  2. Step 2: Convert to fraction form
    150,647.94/225,973.19 = 38,328.26/x
  3. Step 3: Cross multiply
    150,647.94x = 225,973.19 × 38,328.26
  4. Step 4: Simplify right side
    150,647.94x = 8,661,158,145.30
  5. Step 5: Solve for x
    x = 8,661,158,145.30/150,647.94
  6. Step 6: Final answer
    x = 57,492.71

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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.