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Finding the Fourth Proportional to 222,432.48, 306,842.40 and 150,788.16

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Solution

The fourth proportional to 222,432.48, 306,842.40 and 150,788.16 is: 208,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,432.48 : 306,842.40 = 150,788.16 : x
  2. Step 2: Convert to fraction form
    222,432.48/306,842.40 = 150,788.16/x
  3. Step 3: Cross multiply
    222,432.48x = 306,842.40 × 150,788.16
  4. Step 4: Simplify right side
    222,432.48x = 46,268,200,905.98
  5. Step 5: Solve for x
    x = 46,268,200,905.98/222,432.48
  6. Step 6: Final answer
    x = 208,010.09

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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.