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Finding the Fourth Proportional to 201,770.30, 302,546.10 and 83,307.80

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Solution

The fourth proportional to 201,770.30, 302,546.10 and 83,307.80 is: 124,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770.30 : 302,546.10 = 83,307.80 : x
  2. Step 2: Convert to fraction form
    201,770.30/302,546.10 = 83,307.80/x
  3. Step 3: Cross multiply
    201,770.30x = 302,546.10 × 83,307.80
  4. Step 4: Simplify right side
    201,770.30x = 25,204,449,989.58
  5. Step 5: Solve for x
    x = 25,204,449,989.58/201,770.30
  6. Step 6: Final answer
    x = 124,916.55

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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.