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Finding the Fourth Proportional to 214,443.35, 295,926.11 and 123,796.25

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Solution

The fourth proportional to 214,443.35, 295,926.11 and 123,796.25 is: 170,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,443.35 : 295,926.11 = 123,796.25 : x
  2. Step 2: Convert to fraction form
    214,443.35/295,926.11 = 123,796.25/x
  3. Step 3: Cross multiply
    214,443.35x = 295,926.11 × 123,796.25
  4. Step 4: Simplify right side
    214,443.35x = 36,634,542,695.09
  5. Step 5: Solve for x
    x = 36,634,542,695.09/214,443.35
  6. Step 6: Final answer
    x = 170,835.53

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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.