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Finding the Fourth Proportional to 205,055.49, 307,599.34 and 55,293.52

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Solution

The fourth proportional to 205,055.49, 307,599.34 and 55,293.52 is: 82,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.49 : 307,599.34 = 55,293.52 : x
  2. Step 2: Convert to fraction form
    205,055.49/307,599.34 = 55,293.52/x
  3. Step 3: Cross multiply
    205,055.49x = 307,599.34 × 55,293.52
  4. Step 4: Simplify right side
    205,055.49x = 17,008,250,258.28
  5. Step 5: Solve for x
    x = 17,008,250,258.28/205,055.49
  6. Step 6: Final answer
    x = 82,944.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.