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Finding the Fourth Proportional to 281,779.70, 422,734.34 and 92,246.18

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Solution

The fourth proportional to 281,779.70, 422,734.34 and 92,246.18 is: 138,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,779.70 : 422,734.34 = 92,246.18 : x
  2. Step 2: Convert to fraction form
    281,779.70/422,734.34 = 92,246.18/x
  3. Step 3: Cross multiply
    281,779.70x = 422,734.34 × 92,246.18
  4. Step 4: Simplify right side
    281,779.70x = 38,995,626,136.76
  5. Step 5: Solve for x
    x = 38,995,626,136.76/281,779.70
  6. Step 6: Final answer
    x = 138,390.48

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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.