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Finding the Fourth Proportional to 281,574.30, 422,365.77 and 94,587.42

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Solution

The fourth proportional to 281,574.30, 422,365.77 and 94,587.42 is: 141,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,574.30 : 422,365.77 = 94,587.42 : x
  2. Step 2: Convert to fraction form
    281,574.30/422,365.77 = 94,587.42/x
  3. Step 3: Cross multiply
    281,574.30x = 422,365.77 × 94,587.42
  4. Step 4: Simplify right side
    281,574.30x = 39,950,488,480.61
  5. Step 5: Solve for x
    x = 39,950,488,480.61/281,574.30
  6. Step 6: Final answer
    x = 141,882.58

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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.