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Finding the Fourth Proportional to 132,020.84, 198,083.10 and 58,097

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Solution

The fourth proportional to 132,020.84, 198,083.10 and 58,097 is: 87,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.84 : 198,083.10 = 58,097 : x
  2. Step 2: Convert to fraction form
    132,020.84/198,083.10 = 58,097/x
  3. Step 3: Cross multiply
    132,020.84x = 198,083.10 × 58,097
  4. Step 4: Simplify right side
    132,020.84x = 11,508,033,860.70
  5. Step 5: Solve for x
    x = 11,508,033,860.70/132,020.84
  6. Step 6: Final answer
    x = 87,168.31

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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.