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Finding the Fourth Proportional to 198,970.32, 298,306.32 and 120,066

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Solution

The fourth proportional to 198,970.32, 298,306.32 and 120,066 is: 180,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,970.32 : 298,306.32 = 120,066 : x
  2. Step 2: Convert to fraction form
    198,970.32/298,306.32 = 120,066/x
  3. Step 3: Cross multiply
    198,970.32x = 298,306.32 × 120,066
  4. Step 4: Simplify right side
    198,970.32x = 35,816,446,617.12
  5. Step 5: Solve for x
    x = 35,816,446,617.12/198,970.32
  6. Step 6: Final answer
    x = 180,008.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.