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Finding the Fourth Proportional to 278,205.53, 383,924.07 and 150,881.22

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Solution

The fourth proportional to 278,205.53, 383,924.07 and 150,881.22 is: 208,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,205.53 : 383,924.07 = 150,881.22 : x
  2. Step 2: Convert to fraction form
    278,205.53/383,924.07 = 150,881.22/x
  3. Step 3: Cross multiply
    278,205.53x = 383,924.07 × 150,881.22
  4. Step 4: Simplify right side
    278,205.53x = 57,926,932,068.97
  5. Step 5: Solve for x
    x = 57,926,932,068.97/278,205.53
  6. Step 6: Final answer
    x = 208,216.33

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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.