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Finding the Fourth Proportional to 227,676.82, 313,901.96 and 186,689.94

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Solution

The fourth proportional to 227,676.82, 313,901.96 and 186,689.94 is: 257,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,676.82 : 313,901.96 = 186,689.94 : x
  2. Step 2: Convert to fraction form
    227,676.82/313,901.96 = 186,689.94/x
  3. Step 3: Cross multiply
    227,676.82x = 313,901.96 × 186,689.94
  4. Step 4: Simplify right side
    227,676.82x = 58,602,337,839.76
  5. Step 5: Solve for x
    x = 58,602,337,839.76/227,676.82
  6. Step 6: Final answer
    x = 257,392.64

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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.