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Finding the Fourth Proportional to 220,328.34, 330,390.44 and 178,104.66

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Solution

The fourth proportional to 220,328.34, 330,390.44 and 178,104.66 is: 267,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,328.34 : 330,390.44 = 178,104.66 : x
  2. Step 2: Convert to fraction form
    220,328.34/330,390.44 = 178,104.66/x
  3. Step 3: Cross multiply
    220,328.34x = 330,390.44 × 178,104.66
  4. Step 4: Simplify right side
    220,328.34x = 58,844,076,983.45
  5. Step 5: Solve for x
    x = 58,844,076,983.45/220,328.34
  6. Step 6: Final answer
    x = 267,074.48

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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.