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Finding the Fourth Proportional to 214,249.96, 295,674.60 and 122,377.32

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Solution

The fourth proportional to 214,249.96, 295,674.60 and 122,377.32 is: 168,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,249.96 : 295,674.60 = 122,377.32 : x
  2. Step 2: Convert to fraction form
    214,249.96/295,674.60 = 122,377.32/x
  3. Step 3: Cross multiply
    214,249.96x = 295,674.60 × 122,377.32
  4. Step 4: Simplify right side
    214,249.96x = 36,183,865,140.07
  5. Step 5: Solve for x
    x = 36,183,865,140.07/214,249.96
  6. Step 6: Final answer
    x = 168,886.22

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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.