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Finding the Fourth Proportional to 170,153.24, 255,229.86 and 45,491

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Solution

The fourth proportional to 170,153.24, 255,229.86 and 45,491 is: 68,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,153.24 : 255,229.86 = 45,491 : x
  2. Step 2: Convert to fraction form
    170,153.24/255,229.86 = 45,491/x
  3. Step 3: Cross multiply
    170,153.24x = 255,229.86 × 45,491
  4. Step 4: Simplify right side
    170,153.24x = 11,610,661,561.26
  5. Step 5: Solve for x
    x = 11,610,661,561.26/170,153.24
  6. Step 6: Final answer
    x = 68,236.50

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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.