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Finding the Fourth Proportional to 165,083.76, 227,811.72 and 97,087.44

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Solution

The fourth proportional to 165,083.76, 227,811.72 and 97,087.44 is: 133,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,083.76 : 227,811.72 = 97,087.44 : x
  2. Step 2: Convert to fraction form
    165,083.76/227,811.72 = 97,087.44/x
  3. Step 3: Cross multiply
    165,083.76x = 227,811.72 × 97,087.44
  4. Step 4: Simplify right side
    165,083.76x = 22,117,656,696.80
  5. Step 5: Solve for x
    x = 22,117,656,696.80/165,083.76
  6. Step 6: Final answer
    x = 133,978.39

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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.