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Finding the Fourth Proportional to 454,633.96, 681,978.24 and 139,093.60

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Solution

The fourth proportional to 454,633.96, 681,978.24 and 139,093.60 is: 208,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,633.96 : 681,978.24 = 139,093.60 : x
  2. Step 2: Convert to fraction form
    454,633.96/681,978.24 = 139,093.60/x
  3. Step 3: Cross multiply
    454,633.96x = 681,978.24 × 139,093.60
  4. Step 4: Simplify right side
    454,633.96x = 94,858,808,523.26
  5. Step 5: Solve for x
    x = 94,858,808,523.26/454,633.96
  6. Step 6: Final answer
    x = 208,648.75

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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.