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Finding the Fourth Proportional to 195,452.95, 269,725.59 and 106,028.95

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Solution

The fourth proportional to 195,452.95, 269,725.59 and 106,028.95 is: 146,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,452.95 : 269,725.59 = 106,028.95 : x
  2. Step 2: Convert to fraction form
    195,452.95/269,725.59 = 106,028.95/x
  3. Step 3: Cross multiply
    195,452.95x = 269,725.59 × 106,028.95
  4. Step 4: Simplify right side
    195,452.95x = 28,598,721,095.83
  5. Step 5: Solve for x
    x = 28,598,721,095.83/195,452.95
  6. Step 6: Final answer
    x = 146,320.23

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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.