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Finding the Fourth Proportional to 131,351.40, 181,269.41 and 77,682.42

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Solution

The fourth proportional to 131,351.40, 181,269.41 and 77,682.42 is: 107,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,351.40 : 181,269.41 = 77,682.42 : x
  2. Step 2: Convert to fraction form
    131,351.40/181,269.41 = 77,682.42/x
  3. Step 3: Cross multiply
    131,351.40x = 181,269.41 × 77,682.42
  4. Step 4: Simplify right side
    131,351.40x = 14,081,446,052.36
  5. Step 5: Solve for x
    x = 14,081,446,052.36/131,351.40
  6. Step 6: Final answer
    x = 107,204.38

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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.