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Finding the Fourth Proportional to 102,744.29, 141,786.63 and 57,422.22

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Solution

The fourth proportional to 102,744.29, 141,786.63 and 57,422.22 is: 79,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744.29 : 141,786.63 = 57,422.22 : x
  2. Step 2: Convert to fraction form
    102,744.29/141,786.63 = 57,422.22/x
  3. Step 3: Cross multiply
    102,744.29x = 141,786.63 × 57,422.22
  4. Step 4: Simplify right side
    102,744.29x = 8,141,703,060.92
  5. Step 5: Solve for x
    x = 8,141,703,060.92/102,744.29
  6. Step 6: Final answer
    x = 79,242.39

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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.