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Finding the Fourth Proportional to 102,251.39, 153,401.94 and 34,787.90

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Solution

The fourth proportional to 102,251.39, 153,401.94 and 34,787.90 is: 52,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,251.39 : 153,401.94 = 34,787.90 : x
  2. Step 2: Convert to fraction form
    102,251.39/153,401.94 = 34,787.90/x
  3. Step 3: Cross multiply
    102,251.39x = 153,401.94 × 34,787.90
  4. Step 4: Simplify right side
    102,251.39x = 5,336,531,732.03
  5. Step 5: Solve for x
    x = 5,336,531,732.03/102,251.39
  6. Step 6: Final answer
    x = 52,190.31

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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.