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Finding the Fourth Proportional to 192,587.24, 265,765.38 and 106,544

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Solution

The fourth proportional to 192,587.24, 265,765.38 and 106,544 is: 147,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,587.24 : 265,765.38 = 106,544 : x
  2. Step 2: Convert to fraction form
    192,587.24/265,765.38 = 106,544/x
  3. Step 3: Cross multiply
    192,587.24x = 265,765.38 × 106,544
  4. Step 4: Simplify right side
    192,587.24x = 28,315,706,646.72
  5. Step 5: Solve for x
    x = 28,315,706,646.72/192,587.24
  6. Step 6: Final answer
    x = 147,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.