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Finding the Fourth Proportional to 209,584.26, 289,181.43 and 124,684.74

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Solution

The fourth proportional to 209,584.26, 289,181.43 and 124,684.74 is: 172,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,584.26 : 289,181.43 = 124,684.74 : x
  2. Step 2: Convert to fraction form
    209,584.26/289,181.43 = 124,684.74/x
  3. Step 3: Cross multiply
    209,584.26x = 289,181.43 × 124,684.74
  4. Step 4: Simplify right side
    209,584.26x = 36,056,511,412.38
  5. Step 5: Solve for x
    x = 36,056,511,412.38/209,584.26
  6. Step 6: Final answer
    x = 172,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.