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Finding the Fourth Proportional to 214,737.93, 321,685.53 and 174,799.86

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Solution

The fourth proportional to 214,737.93, 321,685.53 and 174,799.86 is: 261,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,737.93 : 321,685.53 = 174,799.86 : x
  2. Step 2: Convert to fraction form
    214,737.93/321,685.53 = 174,799.86/x
  3. Step 3: Cross multiply
    214,737.93x = 321,685.53 × 174,799.86
  4. Step 4: Simplify right side
    214,737.93x = 56,230,585,608.03
  5. Step 5: Solve for x
    x = 56,230,585,608.03/214,737.93
  6. Step 6: Final answer
    x = 261,856.79

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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.