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Finding the Fourth Proportional to 160,952.27, 222,119.92 and 97,253.16

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Solution

The fourth proportional to 160,952.27, 222,119.92 and 97,253.16 is: 134,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,952.27 : 222,119.92 = 97,253.16 : x
  2. Step 2: Convert to fraction form
    160,952.27/222,119.92 = 97,253.16/x
  3. Step 3: Cross multiply
    160,952.27x = 222,119.92 × 97,253.16
  4. Step 4: Simplify right side
    160,952.27x = 21,601,863,407.56
  5. Step 5: Solve for x
    x = 21,601,863,407.56/160,952.27
  6. Step 6: Final answer
    x = 134,212.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.