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Finding the Fourth Proportional to 150,362.96, 225,661.80 and 66,181.52

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Solution

The fourth proportional to 150,362.96, 225,661.80 and 66,181.52 is: 99,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,362.96 : 225,661.80 = 66,181.52 : x
  2. Step 2: Convert to fraction form
    150,362.96/225,661.80 = 66,181.52/x
  3. Step 3: Cross multiply
    150,362.96x = 225,661.80 × 66,181.52
  4. Step 4: Simplify right side
    150,362.96x = 14,934,640,929.94
  5. Step 5: Solve for x
    x = 14,934,640,929.94/150,362.96
  6. Step 6: Final answer
    x = 99,323.94

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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.