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Finding the Fourth Proportional to 211,443.25, 317,131.10 and 61,648.51

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Solution

The fourth proportional to 211,443.25, 317,131.10 and 61,648.51 is: 92,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,443.25 : 317,131.10 = 61,648.51 : x
  2. Step 2: Convert to fraction form
    211,443.25/317,131.10 = 61,648.51/x
  3. Step 3: Cross multiply
    211,443.25x = 317,131.10 × 61,648.51
  4. Step 4: Simplify right side
    211,443.25x = 19,550,659,789.66
  5. Step 5: Solve for x
    x = 19,550,659,789.66/211,443.25
  6. Step 6: Final answer
    x = 92,462.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.