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Finding the Fourth Proportional to 165,072, 227,808 and 97,092.48

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Solution

The fourth proportional to 165,072, 227,808 and 97,092.48 is: 133,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,072 : 227,808 = 97,092.48 : x
  2. Step 2: Convert to fraction form
    165,072/227,808 = 97,092.48/x
  3. Step 3: Cross multiply
    165,072x = 227,808 × 97,092.48
  4. Step 4: Simplify right side
    165,072x = 22,118,443,683.84
  5. Step 5: Solve for x
    x = 22,118,443,683.84/165,072
  6. Step 6: Final answer
    x = 133,992.70

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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.