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Finding the Fourth Proportional to 199,828.20, 299,714.94 and 66,705.42

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Solution

The fourth proportional to 199,828.20, 299,714.94 and 66,705.42 is: 100,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828.20 : 299,714.94 = 66,705.42 : x
  2. Step 2: Convert to fraction form
    199,828.20/299,714.94 = 66,705.42/x
  3. Step 3: Cross multiply
    199,828.20x = 299,714.94 × 66,705.42
  4. Step 4: Simplify right side
    199,828.20x = 19,992,610,952.97
  5. Step 5: Solve for x
    x = 19,992,610,952.97/199,828.20
  6. Step 6: Final answer
    x = 100,049.00

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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.