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Finding the Fourth Proportional to 201,068.70, 301,773.15 and 82,824.90

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Solution

The fourth proportional to 201,068.70, 301,773.15 and 82,824.90 is: 124,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,068.70 : 301,773.15 = 82,824.90 : x
  2. Step 2: Convert to fraction form
    201,068.70/301,773.15 = 82,824.90/x
  3. Step 3: Cross multiply
    201,068.70x = 301,773.15 × 82,824.90
  4. Step 4: Simplify right side
    201,068.70x = 24,994,330,971.44
  5. Step 5: Solve for x
    x = 24,994,330,971.44/201,068.70
  6. Step 6: Final answer
    x = 124,307.42

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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.