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Finding the Fourth Proportional to 160,944.44, 222,002.28 and 103,658

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Solution

The fourth proportional to 160,944.44, 222,002.28 and 103,658 is: 142,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,944.44 : 222,002.28 = 103,658 : x
  2. Step 2: Convert to fraction form
    160,944.44/222,002.28 = 103,658/x
  3. Step 3: Cross multiply
    160,944.44x = 222,002.28 × 103,658
  4. Step 4: Simplify right side
    160,944.44x = 23,012,312,340.24
  5. Step 5: Solve for x
    x = 23,012,312,340.24/160,944.44
  6. Step 6: Final answer
    x = 142,982.96

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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.