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Finding the Fourth Proportional to 264,822.16, 397,211.37 and 122,638

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Solution

The fourth proportional to 264,822.16, 397,211.37 and 122,638 is: 183,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,822.16 : 397,211.37 = 122,638 : x
  2. Step 2: Convert to fraction form
    264,822.16/397,211.37 = 122,638/x
  3. Step 3: Cross multiply
    264,822.16x = 397,211.37 × 122,638
  4. Step 4: Simplify right side
    264,822.16x = 48,713,207,994.06
  5. Step 5: Solve for x
    x = 48,713,207,994.06/264,822.16
  6. Step 6: Final answer
    x = 183,946.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.