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Finding the Fourth Proportional to 201,461.20, 301,827.30 and 159,616.60

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Solution

The fourth proportional to 201,461.20, 301,827.30 and 159,616.60 is: 239,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.20 : 301,827.30 = 159,616.60 : x
  2. Step 2: Convert to fraction form
    201,461.20/301,827.30 = 159,616.60/x
  3. Step 3: Cross multiply
    201,461.20x = 301,827.30 × 159,616.60
  4. Step 4: Simplify right side
    201,461.20x = 48,176,647,413.18
  5. Step 5: Solve for x
    x = 48,176,647,413.18/201,461.20
  6. Step 6: Final answer
    x = 239,136.11

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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.