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Finding the Fourth Proportional to 199,047.42, 298,275.89 and 146,198.57

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Solution

The fourth proportional to 199,047.42, 298,275.89 and 146,198.57 is: 219,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,047.42 : 298,275.89 = 146,198.57 : x
  2. Step 2: Convert to fraction form
    199,047.42/298,275.89 = 146,198.57/x
  3. Step 3: Cross multiply
    199,047.42x = 298,275.89 × 146,198.57
  4. Step 4: Simplify right side
    199,047.42x = 43,607,506,361.11
  5. Step 5: Solve for x
    x = 43,607,506,361.11/199,047.42
  6. Step 6: Final answer
    x = 219,080.99

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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.