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Finding the Fourth Proportional to 199,607.85, 299,411.78 and 196,983.45

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Solution

The fourth proportional to 199,607.85, 299,411.78 and 196,983.45 is: 295,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,607.85 : 299,411.78 = 196,983.45 : x
  2. Step 2: Convert to fraction form
    199,607.85/299,411.78 = 196,983.45/x
  3. Step 3: Cross multiply
    199,607.85x = 299,411.78 × 196,983.45
  4. Step 4: Simplify right side
    199,607.85x = 58,979,164,410.12
  5. Step 5: Solve for x
    x = 58,979,164,410.12/199,607.85
  6. Step 6: Final answer
    x = 295,475.18

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Why These Related Problems?

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