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Finding the Fourth Proportional to 228,498.29, 315,656.11 and 182,497.54

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Solution

The fourth proportional to 228,498.29, 315,656.11 and 182,497.54 is: 252,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,498.29 : 315,656.11 = 182,497.54 : x
  2. Step 2: Convert to fraction form
    228,498.29/315,656.11 = 182,497.54/x
  3. Step 3: Cross multiply
    228,498.29x = 315,656.11 × 182,497.54
  4. Step 4: Simplify right side
    228,498.29x = 57,606,463,453.04
  5. Step 5: Solve for x
    x = 57,606,463,453.04/228,498.29
  6. Step 6: Final answer
    x = 252,108.94

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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.