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Finding the Fourth Proportional to 281,586.30, 388,617 and 160,745.76

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Solution

The fourth proportional to 281,586.30, 388,617 and 160,745.76 is: 221,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,586.30 : 388,617 = 160,745.76 : x
  2. Step 2: Convert to fraction form
    281,586.30/388,617 = 160,745.76/x
  3. Step 3: Cross multiply
    281,586.30x = 388,617 × 160,745.76
  4. Step 4: Simplify right side
    281,586.30x = 62,468,535,013.92
  5. Step 5: Solve for x
    x = 62,468,535,013.92/281,586.30
  6. Step 6: Final answer
    x = 221,845.08

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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.