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Finding the Fourth Proportional to 281,378.25, 388,339.04 and 160,491.83

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Solution

The fourth proportional to 281,378.25, 388,339.04 and 160,491.83 is: 221,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378.25 : 388,339.04 = 160,491.83 : x
  2. Step 2: Convert to fraction form
    281,378.25/388,339.04 = 160,491.83/x
  3. Step 3: Cross multiply
    281,378.25x = 388,339.04 × 160,491.83
  4. Step 4: Simplify right side
    281,378.25x = 62,325,241,649.58
  5. Step 5: Solve for x
    x = 62,325,241,649.58/281,378.25
  6. Step 6: Final answer
    x = 221,499.86

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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.