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Finding the Fourth Proportional to 167,852.97, 251,817.52 and 55,533

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Solution

The fourth proportional to 167,852.97, 251,817.52 and 55,533 is: 83,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,852.97 : 251,817.52 = 55,533 : x
  2. Step 2: Convert to fraction form
    167,852.97/251,817.52 = 55,533/x
  3. Step 3: Cross multiply
    167,852.97x = 251,817.52 × 55,533
  4. Step 4: Simplify right side
    167,852.97x = 13,984,182,338.16
  5. Step 5: Solve for x
    x = 13,984,182,338.16/167,852.97
  6. Step 6: Final answer
    x = 83,312.09

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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.