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Finding the Fourth Proportional to 104,494.20, 144,201.54 and 56,747.16

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Solution

The fourth proportional to 104,494.20, 144,201.54 and 56,747.16 is: 78,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494.20 : 144,201.54 = 56,747.16 : x
  2. Step 2: Convert to fraction form
    104,494.20/144,201.54 = 56,747.16/x
  3. Step 3: Cross multiply
    104,494.20x = 144,201.54 × 56,747.16
  4. Step 4: Simplify right side
    104,494.20x = 8,183,027,862.63
  5. Step 5: Solve for x
    x = 8,183,027,862.63/104,494.20
  6. Step 6: Final answer
    x = 78,310.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.