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Finding the Fourth Proportional to 141,855.48, 195,757.82 and 77,325.28

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Solution

The fourth proportional to 141,855.48, 195,757.82 and 77,325.28 is: 106,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,855.48 : 195,757.82 = 77,325.28 : x
  2. Step 2: Convert to fraction form
    141,855.48/195,757.82 = 77,325.28/x
  3. Step 3: Cross multiply
    141,855.48x = 195,757.82 × 77,325.28
  4. Step 4: Simplify right side
    141,855.48x = 15,137,028,243.69
  5. Step 5: Solve for x
    x = 15,137,028,243.69/141,855.48
  6. Step 6: Final answer
    x = 106,707.39

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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.