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Finding the Fourth Proportional to 206,848.82, 310,022.40 and 94,374.92

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Solution

The fourth proportional to 206,848.82, 310,022.40 and 94,374.92 is: 141,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848.82 : 310,022.40 = 94,374.92 : x
  2. Step 2: Convert to fraction form
    206,848.82/310,022.40 = 94,374.92/x
  3. Step 3: Cross multiply
    206,848.82x = 310,022.40 × 94,374.92
  4. Step 4: Simplify right side
    206,848.82x = 29,258,339,198.21
  5. Step 5: Solve for x
    x = 29,258,339,198.21/206,848.82
  6. Step 6: Final answer
    x = 141,447.94

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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.