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Finding the Fourth Proportional to 167,333.54, 230,919.81 and 100,265.54

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Solution

The fourth proportional to 167,333.54, 230,919.81 and 100,265.54 is: 138,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,333.54 : 230,919.81 = 100,265.54 : x
  2. Step 2: Convert to fraction form
    167,333.54/230,919.81 = 100,265.54/x
  3. Step 3: Cross multiply
    167,333.54x = 230,919.81 × 100,265.54
  4. Step 4: Simplify right side
    167,333.54x = 23,153,299,446.35
  5. Step 5: Solve for x
    x = 23,153,299,446.35/167,333.54
  6. Step 6: Final answer
    x = 138,366.16

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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.