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Finding the Fourth Proportional to 152,945.66, 211,098.77 and 84,986

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Solution

The fourth proportional to 152,945.66, 211,098.77 and 84,986 is: 117,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,945.66 : 211,098.77 = 84,986 : x
  2. Step 2: Convert to fraction form
    152,945.66/211,098.77 = 84,986/x
  3. Step 3: Cross multiply
    152,945.66x = 211,098.77 × 84,986
  4. Step 4: Simplify right side
    152,945.66x = 17,940,440,067.22
  5. Step 5: Solve for x
    x = 17,940,440,067.22/152,945.66
  6. Step 6: Final answer
    x = 117,299.44

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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.