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Finding the Fourth Proportional to 365,451.54, 548,101.98 and 140,734.86

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Solution

The fourth proportional to 365,451.54, 548,101.98 and 140,734.86 is: 211,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,451.54 : 548,101.98 = 140,734.86 : x
  2. Step 2: Convert to fraction form
    365,451.54/548,101.98 = 140,734.86/x
  3. Step 3: Cross multiply
    365,451.54x = 548,101.98 × 140,734.86
  4. Step 4: Simplify right side
    365,451.54x = 77,137,055,421.02
  5. Step 5: Solve for x
    x = 77,137,055,421.02/365,451.54
  6. Step 6: Final answer
    x = 211,073.28

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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.