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Finding the Fourth Proportional to 212,399.82, 293,109.44 and 116,904.47

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Solution

The fourth proportional to 212,399.82, 293,109.44 and 116,904.47 is: 161,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,399.82 : 293,109.44 = 116,904.47 : x
  2. Step 2: Convert to fraction form
    212,399.82/293,109.44 = 116,904.47/x
  3. Step 3: Cross multiply
    212,399.82x = 293,109.44 × 116,904.47
  4. Step 4: Simplify right side
    212,399.82x = 34,265,801,685.13
  5. Step 5: Solve for x
    x = 34,265,801,685.13/212,399.82
  6. Step 6: Final answer
    x = 161,326.89

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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.