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Finding the Fourth Proportional to 164,766.64, 227,375.56 and 93,144.28

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Solution

The fourth proportional to 164,766.64, 227,375.56 and 93,144.28 is: 128,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,766.64 : 227,375.56 = 93,144.28 : x
  2. Step 2: Convert to fraction form
    164,766.64/227,375.56 = 93,144.28/x
  3. Step 3: Cross multiply
    164,766.64x = 227,375.56 × 93,144.28
  4. Step 4: Simplify right side
    164,766.64x = 21,178,732,825.80
  5. Step 5: Solve for x
    x = 21,178,732,825.80/164,766.64
  6. Step 6: Final answer
    x = 128,537.75

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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.