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Finding the Fourth Proportional to 146,565, 219,847.68 and 35,757

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Solution

The fourth proportional to 146,565, 219,847.68 and 35,757 is: 53,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,565 : 219,847.68 = 35,757 : x
  2. Step 2: Convert to fraction form
    146,565/219,847.68 = 35,757/x
  3. Step 3: Cross multiply
    146,565x = 219,847.68 × 35,757
  4. Step 4: Simplify right side
    146,565x = 7,861,093,493.76
  5. Step 5: Solve for x
    x = 7,861,093,493.76/146,565
  6. Step 6: Final answer
    x = 53,635.54

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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.