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Finding the Fourth Proportional to 254,003.08, 380,975.46 and 67,029.16

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Solution

The fourth proportional to 254,003.08, 380,975.46 and 67,029.16 is: 100,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,003.08 : 380,975.46 = 67,029.16 : x
  2. Step 2: Convert to fraction form
    254,003.08/380,975.46 = 67,029.16/x
  3. Step 3: Cross multiply
    254,003.08x = 380,975.46 × 67,029.16
  4. Step 4: Simplify right side
    254,003.08x = 25,536,465,064.41
  5. Step 5: Solve for x
    x = 25,536,465,064.41/254,003.08
  6. Step 6: Final answer
    x = 100,536.04

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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.