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Finding the Fourth Proportional to 141,930.83, 212,836.11 and 53,122.43

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Solution

The fourth proportional to 141,930.83, 212,836.11 and 53,122.43 is: 79,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,930.83 : 212,836.11 = 53,122.43 : x
  2. Step 2: Convert to fraction form
    141,930.83/212,836.11 = 53,122.43/x
  3. Step 3: Cross multiply
    141,930.83x = 212,836.11 × 53,122.43
  4. Step 4: Simplify right side
    141,930.83x = 11,306,371,687.83
  5. Step 5: Solve for x
    x = 11,306,371,687.83/141,930.83
  6. Step 6: Final answer
    x = 79,661.14

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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.