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Finding the Fourth Proportional to 211,830.50, 292,324.97 and 115,033.51

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Solution

The fourth proportional to 211,830.50, 292,324.97 and 115,033.51 is: 158,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.50 : 292,324.97 = 115,033.51 : x
  2. Step 2: Convert to fraction form
    211,830.50/292,324.97 = 115,033.51/x
  3. Step 3: Cross multiply
    211,830.50x = 292,324.97 × 115,033.51
  4. Step 4: Simplify right side
    211,830.50x = 33,627,167,515.39
  5. Step 5: Solve for x
    x = 33,627,167,515.39/211,830.50
  6. Step 6: Final answer
    x = 158,745.63

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