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Finding the Fourth Proportional to 203,221.22, 304,935.92 and 96,725.66

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Solution

The fourth proportional to 203,221.22, 304,935.92 and 96,725.66 is: 145,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,221.22 : 304,935.92 = 96,725.66 : x
  2. Step 2: Convert to fraction form
    203,221.22/304,935.92 = 96,725.66/x
  3. Step 3: Cross multiply
    203,221.22x = 304,935.92 × 96,725.66
  4. Step 4: Simplify right side
    203,221.22x = 29,495,127,636.08
  5. Step 5: Solve for x
    x = 29,495,127,636.08/203,221.22
  6. Step 6: Final answer
    x = 145,138.03

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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.