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Finding the Fourth Proportional to 135,884.70, 204,021.45 and 96,615.90

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Solution

The fourth proportional to 135,884.70, 204,021.45 and 96,615.90 is: 145,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.70 : 204,021.45 = 96,615.90 : x
  2. Step 2: Convert to fraction form
    135,884.70/204,021.45 = 96,615.90/x
  3. Step 3: Cross multiply
    135,884.70x = 204,021.45 × 96,615.90
  4. Step 4: Simplify right side
    135,884.70x = 19,711,716,011.06
  5. Step 5: Solve for x
    x = 19,711,716,011.06/135,884.70
  6. Step 6: Final answer
    x = 145,062.07

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Why These Related Problems?

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