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Finding the Fourth Proportional to 165,188.40, 227,971.04 and 92,592.16

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Solution

The fourth proportional to 165,188.40, 227,971.04 and 92,592.16 is: 127,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,188.40 : 227,971.04 = 92,592.16 : x
  2. Step 2: Convert to fraction form
    165,188.40/227,971.04 = 92,592.16/x
  3. Step 3: Cross multiply
    165,188.40x = 227,971.04 × 92,592.16
  4. Step 4: Simplify right side
    165,188.40x = 21,108,331,011.05
  5. Step 5: Solve for x
    x = 21,108,331,011.05/165,188.40
  6. Step 6: Final answer
    x = 127,783.37

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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.