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Finding the Fourth Proportional to 263,774.96, 364,008.12 and 142,915.40

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Solution

The fourth proportional to 263,774.96, 364,008.12 and 142,915.40 is: 197,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,774.96 : 364,008.12 = 142,915.40 : x
  2. Step 2: Convert to fraction form
    263,774.96/364,008.12 = 142,915.40/x
  3. Step 3: Cross multiply
    263,774.96x = 364,008.12 × 142,915.40
  4. Step 4: Simplify right side
    263,774.96x = 52,022,366,073.05
  5. Step 5: Solve for x
    x = 52,022,366,073.05/263,774.96
  6. Step 6: Final answer
    x = 197,222.53

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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.