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Finding the Fourth Proportional to 192,667.68, 265,874.13 and 107,784.68

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Solution

The fourth proportional to 192,667.68, 265,874.13 and 107,784.68 is: 148,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,667.68 : 265,874.13 = 107,784.68 : x
  2. Step 2: Convert to fraction form
    192,667.68/265,874.13 = 107,784.68/x
  3. Step 3: Cross multiply
    192,667.68x = 265,874.13 × 107,784.68
  4. Step 4: Simplify right side
    192,667.68x = 28,657,156,692.96
  5. Step 5: Solve for x
    x = 28,657,156,692.96/192,667.68
  6. Step 6: Final answer
    x = 148,738.79

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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.