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Finding the Fourth Proportional to 141,371.94, 195,092.13 and 77,709.06

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Solution

The fourth proportional to 141,371.94, 195,092.13 and 77,709.06 is: 107,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,371.94 : 195,092.13 = 77,709.06 : x
  2. Step 2: Convert to fraction form
    141,371.94/195,092.13 = 77,709.06/x
  3. Step 3: Cross multiply
    141,371.94x = 195,092.13 × 77,709.06
  4. Step 4: Simplify right side
    141,371.94x = 15,160,426,035.70
  5. Step 5: Solve for x
    x = 15,160,426,035.70/141,371.94
  6. Step 6: Final answer
    x = 107,237.87

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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.