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Finding the Fourth Proportional to 230,809.74, 346,253.49 and 106,147.50

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Solution

The fourth proportional to 230,809.74, 346,253.49 and 106,147.50 is: 159,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,809.74 : 346,253.49 = 106,147.50 : x
  2. Step 2: Convert to fraction form
    230,809.74/346,253.49 = 106,147.50/x
  3. Step 3: Cross multiply
    230,809.74x = 346,253.49 × 106,147.50
  4. Step 4: Simplify right side
    230,809.74x = 36,753,942,329.78
  5. Step 5: Solve for x
    x = 36,753,942,329.78/230,809.74
  6. Step 6: Final answer
    x = 159,239.13

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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.