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Finding the Fourth Proportional to 108,835.14, 150,194.16 and 65,808.48

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Solution

The fourth proportional to 108,835.14, 150,194.16 and 65,808.48 is: 90,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,835.14 : 150,194.16 = 65,808.48 : x
  2. Step 2: Convert to fraction form
    108,835.14/150,194.16 = 65,808.48/x
  3. Step 3: Cross multiply
    108,835.14x = 150,194.16 × 65,808.48
  4. Step 4: Simplify right side
    108,835.14x = 9,884,049,374.48
  5. Step 5: Solve for x
    x = 9,884,049,374.48/108,835.14
  6. Step 6: Final answer
    x = 90,816.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.