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Finding the Fourth Proportional to 277,488.27, 416,063.84 and 108,806.50

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Solution

The fourth proportional to 277,488.27, 416,063.84 and 108,806.50 is: 163,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.27 : 416,063.84 = 108,806.50 : x
  2. Step 2: Convert to fraction form
    277,488.27/416,063.84 = 108,806.50/x
  3. Step 3: Cross multiply
    277,488.27x = 416,063.84 × 108,806.50
  4. Step 4: Simplify right side
    277,488.27x = 45,270,450,206.96
  5. Step 5: Solve for x
    x = 45,270,450,206.96/277,488.27
  6. Step 6: Final answer
    x = 163,143.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.