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Finding the Fourth Proportional to 278,052.69, 383,715.45 and 150,727.98

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Solution

The fourth proportional to 278,052.69, 383,715.45 and 150,727.98 is: 208,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,052.69 : 383,715.45 = 150,727.98 : x
  2. Step 2: Convert to fraction form
    278,052.69/383,715.45 = 150,727.98/x
  3. Step 3: Cross multiply
    278,052.69x = 383,715.45 × 150,727.98
  4. Step 4: Simplify right side
    278,052.69x = 57,836,654,673.29
  5. Step 5: Solve for x
    x = 57,836,654,673.29/278,052.69
  6. Step 6: Final answer
    x = 208,006.10

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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.