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Finding the Fourth Proportional to 195,033.38, 269,146.06 and 105,609.38

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Solution

The fourth proportional to 195,033.38, 269,146.06 and 105,609.38 is: 145,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,033.38 : 269,146.06 = 105,609.38 : x
  2. Step 2: Convert to fraction form
    195,033.38/269,146.06 = 105,609.38/x
  3. Step 3: Cross multiply
    195,033.38x = 269,146.06 × 105,609.38
  4. Step 4: Simplify right side
    195,033.38x = 28,424,346,916.29
  5. Step 5: Solve for x
    x = 28,424,346,916.29/195,033.38
  6. Step 6: Final answer
    x = 145,740.94

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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.