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Finding the Fourth Proportional to 146,635.67, 219,949.65 and 46,801.95

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Solution

The fourth proportional to 146,635.67, 219,949.65 and 46,801.95 is: 70,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,635.67 : 219,949.65 = 46,801.95 : x
  2. Step 2: Convert to fraction form
    146,635.67/219,949.65 = 46,801.95/x
  3. Step 3: Cross multiply
    146,635.67x = 219,949.65 × 46,801.95
  4. Step 4: Simplify right side
    146,635.67x = 10,294,072,521.82
  5. Step 5: Solve for x
    x = 10,294,072,521.82/146,635.67
  6. Step 6: Final answer
    x = 70,201.70

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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.