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Finding the Fourth Proportional to 201,611.59, 302,467.20 and 83,316.76

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Solution

The fourth proportional to 201,611.59, 302,467.20 and 83,316.76 is: 124,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611.59 : 302,467.20 = 83,316.76 : x
  2. Step 2: Convert to fraction form
    201,611.59/302,467.20 = 83,316.76/x
  3. Step 3: Cross multiply
    201,611.59x = 302,467.20 × 83,316.76
  4. Step 4: Simplify right side
    201,611.59x = 25,200,587,110.27
  5. Step 5: Solve for x
    x = 25,200,587,110.27/201,611.59
  6. Step 6: Final answer
    x = 124,995.73

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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.