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Finding the Fourth Proportional to 206,362.60, 309,301.98 and 95,321.32

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Solution

The fourth proportional to 206,362.60, 309,301.98 and 95,321.32 is: 142,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,362.60 : 309,301.98 = 95,321.32 : x
  2. Step 2: Convert to fraction form
    206,362.60/309,301.98 = 95,321.32/x
  3. Step 3: Cross multiply
    206,362.60x = 309,301.98 × 95,321.32
  4. Step 4: Simplify right side
    206,362.60x = 29,483,073,012.21
  5. Step 5: Solve for x
    x = 29,483,073,012.21/206,362.60
  6. Step 6: Final answer
    x = 142,870.23

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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.