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Finding the Fourth Proportional to 214,310.40, 295,406.80 and 168,918

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Solution

The fourth proportional to 214,310.40, 295,406.80 and 168,918 is: 232,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,310.40 : 295,406.80 = 168,918 : x
  2. Step 2: Convert to fraction form
    214,310.40/295,406.80 = 168,918/x
  3. Step 3: Cross multiply
    214,310.40x = 295,406.80 × 168,918
  4. Step 4: Simplify right side
    214,310.40x = 49,899,525,842.40
  5. Step 5: Solve for x
    x = 49,899,525,842.40/214,310.40
  6. Step 6: Final answer
    x = 232,837.63

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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.