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Finding the Fourth Proportional to 150,586.80, 225,442.80 and 146,212.80

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Solution

The fourth proportional to 150,586.80, 225,442.80 and 146,212.80 is: 218,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,586.80 : 225,442.80 = 146,212.80 : x
  2. Step 2: Convert to fraction form
    150,586.80/225,442.80 = 146,212.80/x
  3. Step 3: Cross multiply
    150,586.80x = 225,442.80 × 146,212.80
  4. Step 4: Simplify right side
    150,586.80x = 32,962,623,027.84
  5. Step 5: Solve for x
    x = 32,962,623,027.84/150,586.80
  6. Step 6: Final answer
    x = 218,894.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.