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Finding the Fourth Proportional to 132,885.26, 199,186.90 and 65,322.05

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Solution

The fourth proportional to 132,885.26, 199,186.90 and 65,322.05 is: 97,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,885.26 : 199,186.90 = 65,322.05 : x
  2. Step 2: Convert to fraction form
    132,885.26/199,186.90 = 65,322.05/x
  3. Step 3: Cross multiply
    132,885.26x = 199,186.90 × 65,322.05
  4. Step 4: Simplify right side
    132,885.26x = 13,011,295,481.91
  5. Step 5: Solve for x
    x = 13,011,295,481.91/132,885.26
  6. Step 6: Final answer
    x = 97,913.76

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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.