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Finding the Fourth Proportional to 342,297.36, 513,018.36 and 164,757.24

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Solution

The fourth proportional to 342,297.36, 513,018.36 and 164,757.24 is: 246,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,297.36 : 513,018.36 = 164,757.24 : x
  2. Step 2: Convert to fraction form
    342,297.36/513,018.36 = 164,757.24/x
  3. Step 3: Cross multiply
    342,297.36x = 513,018.36 × 164,757.24
  4. Step 4: Simplify right side
    342,297.36x = 84,523,489,062.93
  5. Step 5: Solve for x
    x = 84,523,489,062.93/342,297.36
  6. Step 6: Final answer
    x = 246,930.01

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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.