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Finding the Fourth Proportional to 309,890, 427,721.16 and 189,131.12

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Solution

The fourth proportional to 309,890, 427,721.16 and 189,131.12 is: 261,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,890 : 427,721.16 = 189,131.12 : x
  2. Step 2: Convert to fraction form
    309,890/427,721.16 = 189,131.12/x
  3. Step 3: Cross multiply
    309,890x = 427,721.16 × 189,131.12
  4. Step 4: Simplify right side
    309,890x = 80,895,382,038.50
  5. Step 5: Solve for x
    x = 80,895,382,038.50/309,890
  6. Step 6: Final answer
    x = 261,045.47

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