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Finding the Fourth Proportional to 211,379.76, 291,702.87 and 115,887.24

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Solution

The fourth proportional to 211,379.76, 291,702.87 and 115,887.24 is: 159,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,379.76 : 291,702.87 = 115,887.24 : x
  2. Step 2: Convert to fraction form
    211,379.76/291,702.87 = 115,887.24/x
  3. Step 3: Cross multiply
    211,379.76x = 291,702.87 × 115,887.24
  4. Step 4: Simplify right side
    211,379.76x = 33,804,640,504.38
  5. Step 5: Solve for x
    x = 33,804,640,504.38/211,379.76
  6. Step 6: Final answer
    x = 159,923.73

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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.