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Finding the Fourth Proportional to 230,161.57, 345,389.81 and 111,768.32

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Solution

The fourth proportional to 230,161.57, 345,389.81 and 111,768.32 is: 167,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,161.57 : 345,389.81 = 111,768.32 : x
  2. Step 2: Convert to fraction form
    230,161.57/345,389.81 = 111,768.32/x
  3. Step 3: Cross multiply
    230,161.57x = 345,389.81 × 111,768.32
  4. Step 4: Simplify right side
    230,161.57x = 38,603,638,808.82
  5. Step 5: Solve for x
    x = 38,603,638,808.82/230,161.57
  6. Step 6: Final answer
    x = 167,724.09

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1.5x scale

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.