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Finding the Fourth Proportional to 201,722.30, 302,474.10 and 83,259.80

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Solution

The fourth proportional to 201,722.30, 302,474.10 and 83,259.80 is: 124,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.30 : 302,474.10 = 83,259.80 : x
  2. Step 2: Convert to fraction form
    201,722.30/302,474.10 = 83,259.80/x
  3. Step 3: Cross multiply
    201,722.30x = 302,474.10 × 83,259.80
  4. Step 4: Simplify right side
    201,722.30x = 25,183,933,071.18
  5. Step 5: Solve for x
    x = 25,183,933,071.18/201,722.30
  6. Step 6: Final answer
    x = 124,844.57

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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.