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Finding the Fourth Proportional to 132,890.64, 199,194.96 and 65,327.39

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Solution

The fourth proportional to 132,890.64, 199,194.96 and 65,327.39 is: 97,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,890.64 : 199,194.96 = 65,327.39 : x
  2. Step 2: Convert to fraction form
    132,890.64/199,194.96 = 65,327.39/x
  3. Step 3: Cross multiply
    132,890.64x = 199,194.96 × 65,327.39
  4. Step 4: Simplify right side
    132,890.64x = 13,012,886,503.29
  5. Step 5: Solve for x
    x = 13,012,886,503.29/132,890.64
  6. Step 6: Final answer
    x = 97,921.77

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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.