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Finding the Fourth Proportional to 278,018.43, 383,706.42 and 176,053.20

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Solution

The fourth proportional to 278,018.43, 383,706.42 and 176,053.20 is: 242,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,018.43 : 383,706.42 = 176,053.20 : x
  2. Step 2: Convert to fraction form
    278,018.43/383,706.42 = 176,053.20/x
  3. Step 3: Cross multiply
    278,018.43x = 383,706.42 × 176,053.20
  4. Step 4: Simplify right side
    278,018.43x = 67,552,743,101.54
  5. Step 5: Solve for x
    x = 67,552,743,101.54/278,018.43
  6. Step 6: Final answer
    x = 242,979.37

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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.