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Finding the Fourth Proportional to 160,944, 222,102.72 and 90,288

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Solution

The fourth proportional to 160,944, 222,102.72 and 90,288 is: 124,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,944 : 222,102.72 = 90,288 : x
  2. Step 2: Convert to fraction form
    160,944/222,102.72 = 90,288/x
  3. Step 3: Cross multiply
    160,944x = 222,102.72 × 90,288
  4. Step 4: Simplify right side
    160,944x = 20,053,210,383.36
  5. Step 5: Solve for x
    x = 20,053,210,383.36/160,944
  6. Step 6: Final answer
    x = 124,597.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.