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Finding the Fourth Proportional to 192,357.72, 265,467.41 and 106,314.86

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Solution

The fourth proportional to 192,357.72, 265,467.41 and 106,314.86 is: 146,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,357.72 : 265,467.41 = 106,314.86 : x
  2. Step 2: Convert to fraction form
    192,357.72/265,467.41 = 106,314.86/x
  3. Step 3: Cross multiply
    192,357.72x = 265,467.41 × 106,314.86
  4. Step 4: Simplify right side
    192,357.72x = 28,223,128,669.80
  5. Step 5: Solve for x
    x = 28,223,128,669.80/192,357.72
  6. Step 6: Final answer
    x = 146,722.10

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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.