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Finding the Fourth Proportional to 141,371.63, 195,093.06 and 77,709.82

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Solution

The fourth proportional to 141,371.63, 195,093.06 and 77,709.82 is: 107,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,371.63 : 195,093.06 = 77,709.82 : x
  2. Step 2: Convert to fraction form
    141,371.63/195,093.06 = 77,709.82/x
  3. Step 3: Cross multiply
    141,371.63x = 195,093.06 × 77,709.82
  4. Step 4: Simplify right side
    141,371.63x = 15,160,645,600.38
  5. Step 5: Solve for x
    x = 15,160,645,600.38/141,371.63
  6. Step 6: Final answer
    x = 107,239.66

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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.