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Finding the Fourth Proportional to 102,193.38, 141,029.91 and 61,914.51

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Solution

The fourth proportional to 102,193.38, 141,029.91 and 61,914.51 is: 85,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,193.38 : 141,029.91 = 61,914.51 : x
  2. Step 2: Convert to fraction form
    102,193.38/141,029.91 = 61,914.51/x
  3. Step 3: Cross multiply
    102,193.38x = 141,029.91 × 61,914.51
  4. Step 4: Simplify right side
    102,193.38x = 8,731,797,772.99
  5. Step 5: Solve for x
    x = 8,731,797,772.99/102,193.38
  6. Step 6: Final answer
    x = 85,443.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.