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Finding the Fourth Proportional to 201,806.20, 302,723.70 and 61,564.60

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Solution

The fourth proportional to 201,806.20, 302,723.70 and 61,564.60 is: 92,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.20 : 302,723.70 = 61,564.60 : x
  2. Step 2: Convert to fraction form
    201,806.20/302,723.70 = 61,564.60/x
  3. Step 3: Cross multiply
    201,806.20x = 302,723.70 × 61,564.60
  4. Step 4: Simplify right side
    201,806.20x = 18,637,063,501.02
  5. Step 5: Solve for x
    x = 18,637,063,501.02/201,806.20
  6. Step 6: Final answer
    x = 92,351.29

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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.