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Finding the Fourth Proportional to 263,968.88, 364,276.86 and 143,114

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Solution

The fourth proportional to 263,968.88, 364,276.86 and 143,114 is: 197,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,968.88 : 364,276.86 = 143,114 : x
  2. Step 2: Convert to fraction form
    263,968.88/364,276.86 = 143,114/x
  3. Step 3: Cross multiply
    263,968.88x = 364,276.86 × 143,114
  4. Step 4: Simplify right side
    263,968.88x = 52,133,118,542.04
  5. Step 5: Solve for x
    x = 52,133,118,542.04/263,968.88
  6. Step 6: Final answer
    x = 197,497.21

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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.