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Finding the Fourth Proportional to 281,573.88, 422,316.76 and 92,032.80

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Solution

The fourth proportional to 281,573.88, 422,316.76 and 92,032.80 is: 138,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,573.88 : 422,316.76 = 92,032.80 : x
  2. Step 2: Convert to fraction form
    281,573.88/422,316.76 = 92,032.80/x
  3. Step 3: Cross multiply
    281,573.88x = 422,316.76 × 92,032.80
  4. Step 4: Simplify right side
    281,573.88x = 38,866,993,909.73
  5. Step 5: Solve for x
    x = 38,866,993,909.73/281,573.88
  6. Step 6: Final answer
    x = 138,034.80

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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.