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Finding the Fourth Proportional to 230,880, 346,067.82 and 146,677.80

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Solution

The fourth proportional to 230,880, 346,067.82 and 146,677.80 is: 219,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880 : 346,067.82 = 146,677.80 : x
  2. Step 2: Convert to fraction form
    230,880/346,067.82 = 146,677.80/x
  3. Step 3: Cross multiply
    230,880x = 346,067.82 × 146,677.80
  4. Step 4: Simplify right side
    230,880x = 50,760,466,488.40
  5. Step 5: Solve for x
    x = 50,760,466,488.40/230,880
  6. Step 6: Final answer
    x = 219,856.49

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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.