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Finding the Fourth Proportional to 278,363.98, 384,123 and 163,647.46

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Solution

The fourth proportional to 278,363.98, 384,123 and 163,647.46 is: 225,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,363.98 : 384,123 = 163,647.46 : x
  2. Step 2: Convert to fraction form
    278,363.98/384,123 = 163,647.46/x
  3. Step 3: Cross multiply
    278,363.98x = 384,123 × 163,647.46
  4. Step 4: Simplify right side
    278,363.98x = 62,860,753,277.58
  5. Step 5: Solve for x
    x = 62,860,753,277.58/278,363.98
  6. Step 6: Final answer
    x = 225,822.15

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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.