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Finding the Fourth Proportional to 259,495.52, 389,104.80 and 133,084.46

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Solution

The fourth proportional to 259,495.52, 389,104.80 and 133,084.46 is: 199,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,495.52 : 389,104.80 = 133,084.46 : x
  2. Step 2: Convert to fraction form
    259,495.52/389,104.80 = 133,084.46/x
  3. Step 3: Cross multiply
    259,495.52x = 389,104.80 × 133,084.46
  4. Step 4: Simplify right side
    259,495.52x = 51,783,802,191.41
  5. Step 5: Solve for x
    x = 51,783,802,191.41/259,495.52
  6. Step 6: Final answer
    x = 199,555.67

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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.