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Finding the Fourth Proportional to 214,410.66, 295,880.49 and 123,781.38

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Solution

The fourth proportional to 214,410.66, 295,880.49 and 123,781.38 is: 170,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,410.66 : 295,880.49 = 123,781.38 : x
  2. Step 2: Convert to fraction form
    214,410.66/295,880.49 = 123,781.38/x
  3. Step 3: Cross multiply
    214,410.66x = 295,880.49 × 123,781.38
  4. Step 4: Simplify right side
    214,410.66x = 36,624,495,367.28
  5. Step 5: Solve for x
    x = 36,624,495,367.28/214,410.66
  6. Step 6: Final answer
    x = 170,814.71

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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.