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Finding the Fourth Proportional to 214,461.45, 295,970.84 and 123,821.24

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Solution

The fourth proportional to 214,461.45, 295,970.84 and 123,821.24 is: 170,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461.45 : 295,970.84 = 123,821.24 : x
  2. Step 2: Convert to fraction form
    214,461.45/295,970.84 = 123,821.24/x
  3. Step 3: Cross multiply
    214,461.45x = 295,970.84 × 123,821.24
  4. Step 4: Simplify right side
    214,461.45x = 36,647,474,313.68
  5. Step 5: Solve for x
    x = 36,647,474,313.68/214,461.45
  6. Step 6: Final answer
    x = 170,881.41

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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.