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Finding the Fourth Proportional to 144,455.90, 216,644.97 and 50,949.50

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Solution

The fourth proportional to 144,455.90, 216,644.97 and 50,949.50 is: 76,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,455.90 : 216,644.97 = 50,949.50 : x
  2. Step 2: Convert to fraction form
    144,455.90/216,644.97 = 50,949.50/x
  3. Step 3: Cross multiply
    144,455.90x = 216,644.97 × 50,949.50
  4. Step 4: Simplify right side
    144,455.90x = 11,037,952,899.02
  5. Step 5: Solve for x
    x = 11,037,952,899.02/144,455.90
  6. Step 6: Final answer
    x = 76,410.54

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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.