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Finding the Fourth Proportional to 110,117.46, 165,188.31 and 35,220

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Solution

The fourth proportional to 110,117.46, 165,188.31 and 35,220 is: 52,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,117.46 : 165,188.31 = 35,220 : x
  2. Step 2: Convert to fraction form
    110,117.46/165,188.31 = 35,220/x
  3. Step 3: Cross multiply
    110,117.46x = 165,188.31 × 35,220
  4. Step 4: Simplify right side
    110,117.46x = 5,817,932,278.20
  5. Step 5: Solve for x
    x = 5,817,932,278.20/110,117.46
  6. Step 6: Final answer
    x = 52,833.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.