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Finding the Fourth Proportional to 129,219.94, 178,297.38 and 75,494.58

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Solution

The fourth proportional to 129,219.94, 178,297.38 and 75,494.58 is: 104,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,219.94 : 178,297.38 = 75,494.58 : x
  2. Step 2: Convert to fraction form
    129,219.94/178,297.38 = 75,494.58/x
  3. Step 3: Cross multiply
    129,219.94x = 178,297.38 × 75,494.58
  4. Step 4: Simplify right side
    129,219.94x = 13,460,485,976.82
  5. Step 5: Solve for x
    x = 13,460,485,976.82/129,219.94
  6. Step 6: Final answer
    x = 104,167.25

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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.