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Finding the Fourth Proportional to 222,642.34, 306,999.21 and 171,541.06

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Solution

The fourth proportional to 222,642.34, 306,999.21 and 171,541.06 is: 236,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642.34 : 306,999.21 = 171,541.06 : x
  2. Step 2: Convert to fraction form
    222,642.34/306,999.21 = 171,541.06/x
  3. Step 3: Cross multiply
    222,642.34x = 306,999.21 × 171,541.06
  4. Step 4: Simplify right side
    222,642.34x = 52,662,969,778.34
  5. Step 5: Solve for x
    x = 52,662,969,778.34/222,642.34
  6. Step 6: Final answer
    x = 236,536.19

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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.