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Finding the Fourth Proportional to 206,404.16, 309,744.32 and 75,076.16

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Solution

The fourth proportional to 206,404.16, 309,744.32 and 75,076.16 is: 112,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.16 : 309,744.32 = 75,076.16 : x
  2. Step 2: Convert to fraction form
    206,404.16/309,744.32 = 75,076.16/x
  3. Step 3: Cross multiply
    206,404.16x = 309,744.32 × 75,076.16
  4. Step 4: Simplify right side
    206,404.16x = 23,254,414,127.41
  5. Step 5: Solve for x
    x = 23,254,414,127.41/206,404.16
  6. Step 6: Final answer
    x = 112,664.46

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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.