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Finding the Fourth Proportional to 281,134.56, 387,964 and 160,280.80

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Solution

The fourth proportional to 281,134.56, 387,964 and 160,280.80 is: 221,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,134.56 : 387,964 = 160,280.80 : x
  2. Step 2: Convert to fraction form
    281,134.56/387,964 = 160,280.80/x
  3. Step 3: Cross multiply
    281,134.56x = 387,964 × 160,280.80
  4. Step 4: Simplify right side
    281,134.56x = 62,183,180,291.20
  5. Step 5: Solve for x
    x = 62,183,180,291.20/281,134.56
  6. Step 6: Final answer
    x = 221,186.54

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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.