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Finding the Fourth Proportional to 285,236.08, 427,223.43 and 195,065.12

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Solution

The fourth proportional to 285,236.08, 427,223.43 and 195,065.12 is: 292,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,236.08 : 427,223.43 = 195,065.12 : x
  2. Step 2: Convert to fraction form
    285,236.08/427,223.43 = 195,065.12/x
  3. Step 3: Cross multiply
    285,236.08x = 427,223.43 × 195,065.12
  4. Step 4: Simplify right side
    285,236.08x = 83,336,387,991.31
  5. Step 5: Solve for x
    x = 83,336,387,991.31/285,236.08
  6. Step 6: Final answer
    x = 292,166.36

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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.