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Finding the Fourth Proportional to 141,057.80, 211,446.54 and 70,722.44

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Solution

The fourth proportional to 141,057.80, 211,446.54 and 70,722.44 is: 106,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,057.80 : 211,446.54 = 70,722.44 : x
  2. Step 2: Convert to fraction form
    141,057.80/211,446.54 = 70,722.44/x
  3. Step 3: Cross multiply
    141,057.80x = 211,446.54 × 70,722.44
  4. Step 4: Simplify right side
    141,057.80x = 14,954,015,238.36
  5. Step 5: Solve for x
    x = 14,954,015,238.36/141,057.80
  6. Step 6: Final answer
    x = 106,013.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.