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Finding the Fourth Proportional to 144,905.70, 217,358.55 and 102,915.30

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Solution

The fourth proportional to 144,905.70, 217,358.55 and 102,915.30 is: 154,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,905.70 : 217,358.55 = 102,915.30 : x
  2. Step 2: Convert to fraction form
    144,905.70/217,358.55 = 102,915.30/x
  3. Step 3: Cross multiply
    144,905.70x = 217,358.55 × 102,915.30
  4. Step 4: Simplify right side
    144,905.70x = 22,369,520,380.82
  5. Step 5: Solve for x
    x = 22,369,520,380.82/144,905.70
  6. Step 6: Final answer
    x = 154,372.95

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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.