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Finding the Fourth Proportional to 193,224.68, 289,587.54 and 86,530.68

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Solution

The fourth proportional to 193,224.68, 289,587.54 and 86,530.68 is: 129,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,224.68 : 289,587.54 = 86,530.68 : x
  2. Step 2: Convert to fraction form
    193,224.68/289,587.54 = 86,530.68/x
  3. Step 3: Cross multiply
    193,224.68x = 289,587.54 × 86,530.68
  4. Step 4: Simplify right side
    193,224.68x = 25,058,206,755.73
  5. Step 5: Solve for x
    x = 25,058,206,755.73/193,224.68
  6. Step 6: Final answer
    x = 129,684.30

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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.