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Finding the Fourth Proportional to 195,557, 269,868.66 and 106,133

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Solution

The fourth proportional to 195,557, 269,868.66 and 106,133 is: 146,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,557 : 269,868.66 = 106,133 : x
  2. Step 2: Convert to fraction form
    195,557/269,868.66 = 106,133/x
  3. Step 3: Cross multiply
    195,557x = 269,868.66 × 106,133
  4. Step 4: Simplify right side
    195,557x = 28,641,970,491.78
  5. Step 5: Solve for x
    x = 28,641,970,491.78/195,557
  6. Step 6: Final answer
    x = 146,463.54

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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.