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Finding the Fourth Proportional to 231,847.80, 348,549.30 and 197,633.40

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Solution

The fourth proportional to 231,847.80, 348,549.30 and 197,633.40 is: 297,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,847.80 : 348,549.30 = 197,633.40 : x
  2. Step 2: Convert to fraction form
    231,847.80/348,549.30 = 197,633.40/x
  3. Step 3: Cross multiply
    231,847.80x = 348,549.30 × 197,633.40
  4. Step 4: Simplify right side
    231,847.80x = 68,884,983,226.62
  5. Step 5: Solve for x
    x = 68,884,983,226.62/231,847.80
  6. Step 6: Final answer
    x = 297,112.95

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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.