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Finding the Fourth Proportional to 282,794.95, 390,216.41 and 166,439.23

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Solution

The fourth proportional to 282,794.95, 390,216.41 and 166,439.23 is: 229,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,794.95 : 390,216.41 = 166,439.23 : x
  2. Step 2: Convert to fraction form
    282,794.95/390,216.41 = 166,439.23/x
  3. Step 3: Cross multiply
    282,794.95x = 390,216.41 × 166,439.23
  4. Step 4: Simplify right side
    282,794.95x = 64,947,318,813.76
  5. Step 5: Solve for x
    x = 64,947,318,813.76/282,794.95
  6. Step 6: Final answer
    x = 229,662.23

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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.