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Finding the Fourth Proportional to 274,000.84, 378,123.78 and 160,825.48

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Solution

The fourth proportional to 274,000.84, 378,123.78 and 160,825.48 is: 221,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,000.84 : 378,123.78 = 160,825.48 : x
  2. Step 2: Convert to fraction form
    274,000.84/378,123.78 = 160,825.48/x
  3. Step 3: Cross multiply
    274,000.84x = 378,123.78 × 160,825.48
  4. Step 4: Simplify right side
    274,000.84x = 60,811,938,417.91
  5. Step 5: Solve for x
    x = 60,811,938,417.91/274,000.84
  6. Step 6: Final answer
    x = 221,940.70

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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.