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Finding the Fourth Proportional to 109,342.22, 164,065.17 and 65,056.46

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Solution

The fourth proportional to 109,342.22, 164,065.17 and 65,056.46 is: 97,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,342.22 : 164,065.17 = 65,056.46 : x
  2. Step 2: Convert to fraction form
    109,342.22/164,065.17 = 65,056.46/x
  3. Step 3: Cross multiply
    109,342.22x = 164,065.17 × 65,056.46
  4. Step 4: Simplify right side
    109,342.22x = 10,673,499,169.50
  5. Step 5: Solve for x
    x = 10,673,499,169.50/109,342.22
  6. Step 6: Final answer
    x = 97,615.53

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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.