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Finding the Fourth Proportional to 211,830.38, 292,324.79 and 115,033.40

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Solution

The fourth proportional to 211,830.38, 292,324.79 and 115,033.40 is: 158,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,830.38 : 292,324.79 = 115,033.40 : x
  2. Step 2: Convert to fraction form
    211,830.38/292,324.79 = 115,033.40/x
  3. Step 3: Cross multiply
    211,830.38x = 292,324.79 × 115,033.40
  4. Step 4: Simplify right side
    211,830.38x = 33,627,112,461.20
  5. Step 5: Solve for x
    x = 33,627,112,461.20/211,830.38
  6. Step 6: Final answer
    x = 158,745.47

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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.