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Finding the Fourth Proportional to 161,570.64, 222,934.92 and 97,871.44

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Solution

The fourth proportional to 161,570.64, 222,934.92 and 97,871.44 is: 135,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,570.64 : 222,934.92 = 97,871.44 : x
  2. Step 2: Convert to fraction form
    161,570.64/222,934.92 = 97,871.44/x
  3. Step 3: Cross multiply
    161,570.64x = 222,934.92 × 97,871.44
  4. Step 4: Simplify right side
    161,570.64x = 21,818,961,646.68
  5. Step 5: Solve for x
    x = 21,818,961,646.68/161,570.64
  6. Step 6: Final answer
    x = 135,042.86

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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.