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Finding the Fourth Proportional to 201,984.30, 302,984.10 and 75,611.24

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Solution

The fourth proportional to 201,984.30, 302,984.10 and 75,611.24 is: 113,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984.30 : 302,984.10 = 75,611.24 : x
  2. Step 2: Convert to fraction form
    201,984.30/302,984.10 = 75,611.24/x
  3. Step 3: Cross multiply
    201,984.30x = 302,984.10 × 75,611.24
  4. Step 4: Simplify right side
    201,984.30x = 22,909,003,501.28
  5. Step 5: Solve for x
    x = 22,909,003,501.28/201,984.30
  6. Step 6: Final answer
    x = 113,419.72

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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.