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Finding the Fourth Proportional to 220,123.70, 329,893.95 and 195,046.10

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Solution

The fourth proportional to 220,123.70, 329,893.95 and 195,046.10 is: 292,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,123.70 : 329,893.95 = 195,046.10 : x
  2. Step 2: Convert to fraction form
    220,123.70/329,893.95 = 195,046.10/x
  3. Step 3: Cross multiply
    220,123.70x = 329,893.95 × 195,046.10
  4. Step 4: Simplify right side
    220,123.70x = 64,344,528,361.10
  5. Step 5: Solve for x
    x = 64,344,528,361.10/220,123.70
  6. Step 6: Final answer
    x = 292,310.77

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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.