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Finding the Fourth Proportional to 151,164, 208,606.32 and 84,096

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Solution

The fourth proportional to 151,164, 208,606.32 and 84,096 is: 116,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,164 : 208,606.32 = 84,096 : x
  2. Step 2: Convert to fraction form
    151,164/208,606.32 = 84,096/x
  3. Step 3: Cross multiply
    151,164x = 208,606.32 × 84,096
  4. Step 4: Simplify right side
    151,164x = 17,542,957,086.72
  5. Step 5: Solve for x
    x = 17,542,957,086.72/151,164
  6. Step 6: Final answer
    x = 116,052.48

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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.