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Finding the Fourth Proportional to 222,317.31, 306,798.63 and 120,342.74

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Solution

The fourth proportional to 222,317.31, 306,798.63 and 120,342.74 is: 166,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,317.31 : 306,798.63 = 120,342.74 : x
  2. Step 2: Convert to fraction form
    222,317.31/306,798.63 = 120,342.74/x
  3. Step 3: Cross multiply
    222,317.31x = 306,798.63 × 120,342.74
  4. Step 4: Simplify right side
    222,317.31x = 36,920,988,518.30
  5. Step 5: Solve for x
    x = 36,920,988,518.30/222,317.31
  6. Step 6: Final answer
    x = 166,073.39

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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.