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Finding the Fourth Proportional to 223,832, 335,748 and 76,088

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Solution

The fourth proportional to 223,832, 335,748 and 76,088 is: 114,132

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,832 : 335,748 = 76,088 : x
  2. Step 2: Convert to fraction form
    223,832/335,748 = 76,088/x
  3. Step 3: Cross multiply
    223,832x = 335,748 × 76,088
  4. Step 4: Simplify right side
    223,832x = 25,546,393,824
  5. Step 5: Solve for x
    x = 25,546,393,824/223,832
  6. Step 6: Final answer
    x = 114,132

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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.