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Finding the Fourth Proportional to 192,563.76, 265,738.14 and 107,681.16

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Solution

The fourth proportional to 192,563.76, 265,738.14 and 107,681.16 is: 148,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,563.76 : 265,738.14 = 107,681.16 : x
  2. Step 2: Convert to fraction form
    192,563.76/265,738.14 = 107,681.16/x
  3. Step 3: Cross multiply
    192,563.76x = 265,738.14 × 107,681.16
  4. Step 4: Simplify right side
    192,563.76x = 28,614,991,171.44
  5. Step 5: Solve for x
    x = 28,614,991,171.44/192,563.76
  6. Step 6: Final answer
    x = 148,600.09

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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.