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Finding the Fourth Proportional to 330,175.18, 495,333.82 and 102,466.30

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Solution

The fourth proportional to 330,175.18, 495,333.82 and 102,466.30 is: 153,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,175.18 : 495,333.82 = 102,466.30 : x
  2. Step 2: Convert to fraction form
    330,175.18/495,333.82 = 102,466.30/x
  3. Step 3: Cross multiply
    330,175.18x = 495,333.82 × 102,466.30
  4. Step 4: Simplify right side
    330,175.18x = 50,755,023,800.27
  5. Step 5: Solve for x
    x = 50,755,023,800.27/330,175.18
  6. Step 6: Final answer
    x = 153,721.50

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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.