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Finding the Fourth Proportional to 211,603.76, 292,012.38 and 116,112.05

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Solution

The fourth proportional to 211,603.76, 292,012.38 and 116,112.05 is: 160,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,603.76 : 292,012.38 = 116,112.05 : x
  2. Step 2: Convert to fraction form
    211,603.76/292,012.38 = 116,112.05/x
  3. Step 3: Cross multiply
    211,603.76x = 292,012.38 × 116,112.05
  4. Step 4: Simplify right side
    211,603.76x = 33,906,156,067.18
  5. Step 5: Solve for x
    x = 33,906,156,067.18/211,603.76
  6. Step 6: Final answer
    x = 160,234.19

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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.