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Finding the Fourth Proportional to 131,949.83, 182,115.14 and 75,361.20

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Solution

The fourth proportional to 131,949.83, 182,115.14 and 75,361.20 is: 104,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,949.83 : 182,115.14 = 75,361.20 : x
  2. Step 2: Convert to fraction form
    131,949.83/182,115.14 = 75,361.20/x
  3. Step 3: Cross multiply
    131,949.83x = 182,115.14 × 75,361.20
  4. Step 4: Simplify right side
    131,949.83x = 13,724,415,111.76
  5. Step 5: Solve for x
    x = 13,724,415,111.76/131,949.83
  6. Step 6: Final answer
    x = 104,012.38

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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.