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Finding the Fourth Proportional to 264,273.40, 364,698.50 and 143,414.68

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Solution

The fourth proportional to 264,273.40, 364,698.50 and 143,414.68 is: 197,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,273.40 : 364,698.50 = 143,414.68 : x
  2. Step 2: Convert to fraction form
    264,273.40/364,698.50 = 143,414.68/x
  3. Step 3: Cross multiply
    264,273.40x = 364,698.50 × 143,414.68
  4. Step 4: Simplify right side
    264,273.40x = 52,303,119,869.67
  5. Step 5: Solve for x
    x = 52,303,119,869.67/264,273.40
  6. Step 6: Final answer
    x = 197,912.92

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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.