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Finding the Fourth Proportional to 103,694.15, 155,541.23 and 51,206.15

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Solution

The fourth proportional to 103,694.15, 155,541.23 and 51,206.15 is: 76,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694.15 : 155,541.23 = 51,206.15 : x
  2. Step 2: Convert to fraction form
    103,694.15/155,541.23 = 51,206.15/x
  3. Step 3: Cross multiply
    103,694.15x = 155,541.23 × 51,206.15
  4. Step 4: Simplify right side
    103,694.15x = 7,964,667,554.56
  5. Step 5: Solve for x
    x = 7,964,667,554.56/103,694.15
  6. Step 6: Final answer
    x = 76,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.