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Finding the Fourth Proportional to 223,827.78, 335,741.70 and 76,083.78

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Solution

The fourth proportional to 223,827.78, 335,741.70 and 76,083.78 is: 114,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,827.78 : 335,741.70 = 76,083.78 : x
  2. Step 2: Convert to fraction form
    223,827.78/335,741.70 = 76,083.78/x
  3. Step 3: Cross multiply
    223,827.78x = 335,741.70 × 76,083.78
  4. Step 4: Simplify right side
    223,827.78x = 25,544,497,639.63
  5. Step 5: Solve for x
    x = 25,544,497,639.63/223,827.78
  6. Step 6: Final answer
    x = 114,125.68

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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.