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Finding the Fourth Proportional to 195,787.80, 293,451.30 and 102,245.40

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Solution

The fourth proportional to 195,787.80, 293,451.30 and 102,245.40 is: 153,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,787.80 : 293,451.30 = 102,245.40 : x
  2. Step 2: Convert to fraction form
    195,787.80/293,451.30 = 102,245.40/x
  3. Step 3: Cross multiply
    195,787.80x = 293,451.30 × 102,245.40
  4. Step 4: Simplify right side
    195,787.80x = 30,004,045,549.02
  5. Step 5: Solve for x
    x = 30,004,045,549.02/195,787.80
  6. Step 6: Final answer
    x = 153,247.78

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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.