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Finding the Fourth Proportional to 281,792.96, 422,736.96 and 94,760

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Solution

The fourth proportional to 281,792.96, 422,736.96 and 94,760 is: 142,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,792.96 : 422,736.96 = 94,760 : x
  2. Step 2: Convert to fraction form
    281,792.96/422,736.96 = 94,760/x
  3. Step 3: Cross multiply
    281,792.96x = 422,736.96 × 94,760
  4. Step 4: Simplify right side
    281,792.96x = 40,058,554,329.60
  5. Step 5: Solve for x
    x = 40,058,554,329.60/281,792.96
  6. Step 6: Final answer
    x = 142,155.98

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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.