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Finding the Fourth Proportional to 282,069.60, 422,974.80 and 124,216.80

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Solution

The fourth proportional to 282,069.60, 422,974.80 and 124,216.80 is: 186,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,069.60 : 422,974.80 = 124,216.80 : x
  2. Step 2: Convert to fraction form
    282,069.60/422,974.80 = 124,216.80/x
  3. Step 3: Cross multiply
    282,069.60x = 422,974.80 × 124,216.80
  4. Step 4: Simplify right side
    282,069.60x = 52,540,576,136.64
  5. Step 5: Solve for x
    x = 52,540,576,136.64/282,069.60
  6. Step 6: Final answer
    x = 186,268.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.