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Finding the Fourth Proportional to 281,291.13, 388,181.16 and 160,431.30

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Solution

The fourth proportional to 281,291.13, 388,181.16 and 160,431.30 is: 221,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,291.13 : 388,181.16 = 160,431.30 : x
  2. Step 2: Convert to fraction form
    281,291.13/388,181.16 = 160,431.30/x
  3. Step 3: Cross multiply
    281,291.13x = 388,181.16 × 160,431.30
  4. Step 4: Simplify right side
    281,291.13x = 62,276,408,134.31
  5. Step 5: Solve for x
    x = 62,276,408,134.31/281,291.13
  6. Step 6: Final answer
    x = 221,394.85

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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.