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Finding the Fourth Proportional to 150,036, 225,056.16 and 39,228

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Solution

The fourth proportional to 150,036, 225,056.16 and 39,228 is: 58,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,036 : 225,056.16 = 39,228 : x
  2. Step 2: Convert to fraction form
    150,036/225,056.16 = 39,228/x
  3. Step 3: Cross multiply
    150,036x = 225,056.16 × 39,228
  4. Step 4: Simplify right side
    150,036x = 8,828,503,044.48
  5. Step 5: Solve for x
    x = 8,828,503,044.48/150,036
  6. Step 6: Final answer
    x = 58,842.56

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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.