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Finding the Fourth Proportional to 264,219.76, 364,617.44 and 143,361.28

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Solution

The fourth proportional to 264,219.76, 364,617.44 and 143,361.28 is: 197,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,219.76 : 364,617.44 = 143,361.28 : x
  2. Step 2: Convert to fraction form
    264,219.76/364,617.44 = 143,361.28/x
  3. Step 3: Cross multiply
    264,219.76x = 364,617.44 × 143,361.28
  4. Step 4: Simplify right side
    264,219.76x = 52,272,022,908.72
  5. Step 5: Solve for x
    x = 52,272,022,908.72/264,219.76
  6. Step 6: Final answer
    x = 197,835.40

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Why These Related Problems?

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