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Finding the Fourth Proportional to 192,443.72, 265,561.56 and 106,397.69

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Solution

The fourth proportional to 192,443.72, 265,561.56 and 106,397.69 is: 146,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,443.72 : 265,561.56 = 106,397.69 : x
  2. Step 2: Convert to fraction form
    192,443.72/265,561.56 = 106,397.69/x
  3. Step 3: Cross multiply
    192,443.72x = 265,561.56 × 106,397.69
  4. Step 4: Simplify right side
    192,443.72x = 28,255,135,208.99
  5. Step 5: Solve for x
    x = 28,255,135,208.99/192,443.72
  6. Step 6: Final answer
    x = 146,822.85

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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.