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Finding the Fourth Proportional to 146,511.10, 219,766.65 and 146,511.10

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Solution

The fourth proportional to 146,511.10, 219,766.65 and 146,511.10 is: 219,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,511.10 : 219,766.65 = 146,511.10 : x
  2. Step 2: Convert to fraction form
    146,511.10/219,766.65 = 146,511.10/x
  3. Step 3: Cross multiply
    146,511.10x = 219,766.65 × 146,511.10
  4. Step 4: Simplify right side
    146,511.10x = 32,198,253,634.82
  5. Step 5: Solve for x
    x = 32,198,253,634.82/146,511.10
  6. Step 6: Final answer
    x = 219,766.65

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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.