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Finding the Fourth Proportional to 236,906.30, 355,229.85 and 96,506.30

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Solution

The fourth proportional to 236,906.30, 355,229.85 and 96,506.30 is: 144,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,906.30 : 355,229.85 = 96,506.30 : x
  2. Step 2: Convert to fraction form
    236,906.30/355,229.85 = 96,506.30/x
  3. Step 3: Cross multiply
    236,906.30x = 355,229.85 × 96,506.30
  4. Step 4: Simplify right side
    236,906.30x = 34,281,918,473.06
  5. Step 5: Solve for x
    x = 34,281,918,473.06/236,906.30
  6. Step 6: Final answer
    x = 144,706.66

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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.