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Finding the Fourth Proportional to 195,519.58, 269,816.07 and 106,095.58

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Solution

The fourth proportional to 195,519.58, 269,816.07 and 106,095.58 is: 146,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,519.58 : 269,816.07 = 106,095.58 : x
  2. Step 2: Convert to fraction form
    195,519.58/269,816.07 = 106,095.58/x
  3. Step 3: Cross multiply
    195,519.58x = 269,816.07 × 106,095.58
  4. Step 4: Simplify right side
    195,519.58x = 28,626,292,439.97
  5. Step 5: Solve for x
    x = 28,626,292,439.97/195,519.58
  6. Step 6: Final answer
    x = 146,411.38

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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.