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Finding the Fourth Proportional to 278,162.98, 383,867.33 and 150,838.58

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Solution

The fourth proportional to 278,162.98, 383,867.33 and 150,838.58 is: 208,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,162.98 : 383,867.33 = 150,838.58 : x
  2. Step 2: Convert to fraction form
    278,162.98/383,867.33 = 150,838.58/x
  3. Step 3: Cross multiply
    278,162.98x = 383,867.33 × 150,838.58
  4. Step 4: Simplify right side
    278,162.98x = 57,902,003,171.07
  5. Step 5: Solve for x
    x = 57,902,003,171.07/278,162.98
  6. Step 6: Final answer
    x = 208,158.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.