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Finding the Fourth Proportional to 198,590.30, 274,056.25 and 107,946.24

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Solution

The fourth proportional to 198,590.30, 274,056.25 and 107,946.24 is: 148,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,590.30 : 274,056.25 = 107,946.24 : x
  2. Step 2: Convert to fraction form
    198,590.30/274,056.25 = 107,946.24/x
  3. Step 3: Cross multiply
    198,590.30x = 274,056.25 × 107,946.24
  4. Step 4: Simplify right side
    198,590.30x = 29,583,341,736
  5. Step 5: Solve for x
    x = 29,583,341,736/198,590.30
  6. Step 6: Final answer
    x = 148,966.70

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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.