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Finding the Fourth Proportional to 198,056.40, 297,348.28 and 115,010

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Solution

The fourth proportional to 198,056.40, 297,348.28 and 115,010 is: 172,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,056.40 : 297,348.28 = 115,010 : x
  2. Step 2: Convert to fraction form
    198,056.40/297,348.28 = 115,010/x
  3. Step 3: Cross multiply
    198,056.40x = 297,348.28 × 115,010
  4. Step 4: Simplify right side
    198,056.40x = 34,198,025,682.80
  5. Step 5: Solve for x
    x = 34,198,025,682.80/198,056.40
  6. Step 6: Final answer
    x = 172,668.12

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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.