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Finding the Fourth Proportional to 264,398.56, 364,874.40 and 143,539.84

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Solution

The fourth proportional to 264,398.56, 364,874.40 and 143,539.84 is: 198,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,398.56 : 364,874.40 = 143,539.84 : x
  2. Step 2: Convert to fraction form
    264,398.56/364,874.40 = 143,539.84/x
  3. Step 3: Cross multiply
    264,398.56x = 364,874.40 × 143,539.84
  4. Step 4: Simplify right side
    264,398.56x = 52,374,012,996.10
  5. Step 5: Solve for x
    x = 52,374,012,996.10/264,398.56
  6. Step 6: Final answer
    x = 198,087.36

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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.