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Finding the Fourth Proportional to 192,689.57, 265,918.80 and 107,807.24

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Solution

The fourth proportional to 192,689.57, 265,918.80 and 107,807.24 is: 148,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,689.57 : 265,918.80 = 107,807.24 : x
  2. Step 2: Convert to fraction form
    192,689.57/265,918.80 = 107,807.24/x
  3. Step 3: Cross multiply
    192,689.57x = 265,918.80 × 107,807.24
  4. Step 4: Simplify right side
    192,689.57x = 28,667,970,562.52
  5. Step 5: Solve for x
    x = 28,667,970,562.52/192,689.57
  6. Step 6: Final answer
    x = 148,778.01

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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.