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Finding the Fourth Proportional to 201,817.62, 302,766.21 and 59,665.38

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Solution

The fourth proportional to 201,817.62, 302,766.21 and 59,665.38 is: 89,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817.62 : 302,766.21 = 59,665.38 : x
  2. Step 2: Convert to fraction form
    201,817.62/302,766.21 = 59,665.38/x
  3. Step 3: Cross multiply
    201,817.62x = 302,766.21 × 59,665.38
  4. Step 4: Simplify right side
    201,817.62x = 18,064,660,970.81
  5. Step 5: Solve for x
    x = 18,064,660,970.81/201,817.62
  6. Step 6: Final answer
    x = 89,509.83

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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.