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Finding the Fourth Proportional to 214,152.24, 295,522.12 and 123,512

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Solution

The fourth proportional to 214,152.24, 295,522.12 and 123,512 is: 170,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,152.24 : 295,522.12 = 123,512 : x
  2. Step 2: Convert to fraction form
    214,152.24/295,522.12 = 123,512/x
  3. Step 3: Cross multiply
    214,152.24x = 295,522.12 × 123,512
  4. Step 4: Simplify right side
    214,152.24x = 36,500,528,085.44
  5. Step 5: Solve for x
    x = 36,500,528,085.44/214,152.24
  6. Step 6: Final answer
    x = 170,441.96

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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.