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Finding the Fourth Proportional to 264,316.38, 364,759.26 and 143,458.74

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Solution

The fourth proportional to 264,316.38, 364,759.26 and 143,458.74 is: 197,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,316.38 : 364,759.26 = 143,458.74 : x
  2. Step 2: Convert to fraction form
    264,316.38/364,759.26 = 143,458.74/x
  3. Step 3: Cross multiply
    264,316.38x = 364,759.26 × 143,458.74
  4. Step 4: Simplify right side
    264,316.38x = 52,327,903,842.93
  5. Step 5: Solve for x
    x = 52,327,903,842.93/264,316.38
  6. Step 6: Final answer
    x = 197,974.50

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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.