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Finding the Fourth Proportional to 222,007.54, 306,165.92 and 145,498.77

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Solution

The fourth proportional to 222,007.54, 306,165.92 and 145,498.77 is: 200,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,007.54 : 306,165.92 = 145,498.77 : x
  2. Step 2: Convert to fraction form
    222,007.54/306,165.92 = 145,498.77/x
  3. Step 3: Cross multiply
    222,007.54x = 306,165.92 × 145,498.77
  4. Step 4: Simplify right side
    222,007.54x = 44,546,764,775.92
  5. Step 5: Solve for x
    x = 44,546,764,775.92/222,007.54
  6. Step 6: Final answer
    x = 200,654.29

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1.5x scale

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.