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Finding the Fourth Proportional to 192,164.40, 288,246.60 and 189,211.95

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Solution

The fourth proportional to 192,164.40, 288,246.60 and 189,211.95 is: 283,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,164.40 : 288,246.60 = 189,211.95 : x
  2. Step 2: Convert to fraction form
    192,164.40/288,246.60 = 189,211.95/x
  3. Step 3: Cross multiply
    192,164.40x = 288,246.60 × 189,211.95
  4. Step 4: Simplify right side
    192,164.40x = 54,539,701,266.87
  5. Step 5: Solve for x
    x = 54,539,701,266.87/192,164.40
  6. Step 6: Final answer
    x = 283,817.93

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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.