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Finding the Fourth Proportional to 201,649.18, 302,517.60 and 61,404.16

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Solution

The fourth proportional to 201,649.18, 302,517.60 and 61,404.16 is: 92,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,649.18 : 302,517.60 = 61,404.16 : x
  2. Step 2: Convert to fraction form
    201,649.18/302,517.60 = 61,404.16/x
  3. Step 3: Cross multiply
    201,649.18x = 302,517.60 × 61,404.16
  4. Step 4: Simplify right side
    201,649.18x = 18,575,839,113.22
  5. Step 5: Solve for x
    x = 18,575,839,113.22/201,649.18
  6. Step 6: Final answer
    x = 92,119.59

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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.