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Finding the Fourth Proportional to 192,412.94, 265,546.22 and 111,835.32

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Solution

The fourth proportional to 192,412.94, 265,546.22 and 111,835.32 is: 154,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,412.94 : 265,546.22 = 111,835.32 : x
  2. Step 2: Convert to fraction form
    192,412.94/265,546.22 = 111,835.32/x
  3. Step 3: Cross multiply
    192,412.94x = 265,546.22 × 111,835.32
  4. Step 4: Simplify right side
    192,412.94x = 29,697,446,997.40
  5. Step 5: Solve for x
    x = 29,697,446,997.40/192,412.94
  6. Step 6: Final answer
    x = 154,342.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.