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Finding the Fourth Proportional to 254,003.10, 380,975.46 and 67,029.18

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Solution

The fourth proportional to 254,003.10, 380,975.46 and 67,029.18 is: 100,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,003.10 : 380,975.46 = 67,029.18 : x
  2. Step 2: Convert to fraction form
    254,003.10/380,975.46 = 67,029.18/x
  3. Step 3: Cross multiply
    254,003.10x = 380,975.46 × 67,029.18
  4. Step 4: Simplify right side
    254,003.10x = 25,536,472,683.92
  5. Step 5: Solve for x
    x = 25,536,472,683.92/254,003.10
  6. Step 6: Final answer
    x = 100,536.07

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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.