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Finding the Fourth Proportional to 120,256.96, 165,944.16 and 66,541.12

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Solution

The fourth proportional to 120,256.96, 165,944.16 and 66,541.12 is: 91,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,256.96 : 165,944.16 = 66,541.12 : x
  2. Step 2: Convert to fraction form
    120,256.96/165,944.16 = 66,541.12/x
  3. Step 3: Cross multiply
    120,256.96x = 165,944.16 × 66,541.12
  4. Step 4: Simplify right side
    120,256.96x = 11,042,110,263.86
  5. Step 5: Solve for x
    x = 11,042,110,263.86/120,256.96
  6. Step 6: Final answer
    x = 91,820.97

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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.