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Finding the Fourth Proportional to 330,094.90, 495,083.83 and 150,138.28

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Solution

The fourth proportional to 330,094.90, 495,083.83 and 150,138.28 is: 225,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,094.90 : 495,083.83 = 150,138.28 : x
  2. Step 2: Convert to fraction form
    330,094.90/495,083.83 = 150,138.28/x
  3. Step 3: Cross multiply
    330,094.90x = 495,083.83 × 150,138.28
  4. Step 4: Simplify right side
    330,094.90x = 74,331,036,609.45
  5. Step 5: Solve for x
    x = 74,331,036,609.45/330,094.90
  6. Step 6: Final answer
    x = 225,180.81

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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.