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Finding the Fourth Proportional to 195,892.20, 293,847.90 and 102,580.20

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Solution

The fourth proportional to 195,892.20, 293,847.90 and 102,580.20 is: 153,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,892.20 : 293,847.90 = 102,580.20 : x
  2. Step 2: Convert to fraction form
    195,892.20/293,847.90 = 102,580.20/x
  3. Step 3: Cross multiply
    195,892.20x = 293,847.90 × 102,580.20
  4. Step 4: Simplify right side
    195,892.20x = 30,142,976,351.58
  5. Step 5: Solve for x
    x = 30,142,976,351.58/195,892.20
  6. Step 6: Final answer
    x = 153,875.33

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1.5x scale

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.