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Finding the Fourth Proportional to 167,772.64, 251,476.46 and 83,595

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Solution

The fourth proportional to 167,772.64, 251,476.46 and 83,595 is: 125,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,772.64 : 251,476.46 = 83,595 : x
  2. Step 2: Convert to fraction form
    167,772.64/251,476.46 = 83,595/x
  3. Step 3: Cross multiply
    167,772.64x = 251,476.46 × 83,595
  4. Step 4: Simplify right side
    167,772.64x = 21,022,174,673.70
  5. Step 5: Solve for x
    x = 21,022,174,673.70/167,772.64
  6. Step 6: Final answer
    x = 125,301.57

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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.