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Finding the Fourth Proportional to 354,682.89, 531,906.35 and 114,739.83

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Solution

The fourth proportional to 354,682.89, 531,906.35 and 114,739.83 is: 172,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,682.89 : 531,906.35 = 114,739.83 : x
  2. Step 2: Convert to fraction form
    354,682.89/531,906.35 = 114,739.83/x
  3. Step 3: Cross multiply
    354,682.89x = 531,906.35 × 114,739.83
  4. Step 4: Simplify right side
    354,682.89x = 61,030,843,601.22
  5. Step 5: Solve for x
    x = 61,030,843,601.22/354,682.89
  6. Step 6: Final answer
    x = 172,071.58

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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.