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Finding the Fourth Proportional to 254,950.46, 382,469.26 and 105,108.84

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Solution

The fourth proportional to 254,950.46, 382,469.26 and 105,108.84 is: 157,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,950.46 : 382,469.26 = 105,108.84 : x
  2. Step 2: Convert to fraction form
    254,950.46/382,469.26 = 105,108.84/x
  3. Step 3: Cross multiply
    254,950.46x = 382,469.26 × 105,108.84
  4. Step 4: Simplify right side
    254,950.46x = 40,200,899,035.31
  5. Step 5: Solve for x
    x = 40,200,899,035.31/254,950.46
  6. Step 6: Final answer
    x = 157,681.22

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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.