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Finding the Fourth Proportional to 195,564.38, 269,878.84 and 106,140.38

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Solution

The fourth proportional to 195,564.38, 269,878.84 and 106,140.38 is: 146,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,564.38 : 269,878.84 = 106,140.38 : x
  2. Step 2: Convert to fraction form
    195,564.38/269,878.84 = 106,140.38/x
  3. Step 3: Cross multiply
    195,564.38x = 269,878.84 × 106,140.38
  4. Step 4: Simplify right side
    195,564.38x = 28,645,041,016.81
  5. Step 5: Solve for x
    x = 28,645,041,016.81/195,564.38
  6. Step 6: Final answer
    x = 146,473.72

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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.