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Finding the Fourth Proportional to 137,792.72, 206,608.62 and 53,454.32

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Solution

The fourth proportional to 137,792.72, 206,608.62 and 53,454.32 is: 80,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.72 : 206,608.62 = 53,454.32 : x
  2. Step 2: Convert to fraction form
    137,792.72/206,608.62 = 53,454.32/x
  3. Step 3: Cross multiply
    137,792.72x = 206,608.62 × 53,454.32
  4. Step 4: Simplify right side
    137,792.72x = 11,044,123,288.24
  5. Step 5: Solve for x
    x = 11,044,123,288.24/137,792.72
  6. Step 6: Final answer
    x = 80,150.27

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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.