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Finding the Fourth Proportional to 354,273.54, 531,214.47 and 140,825.22

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Solution

The fourth proportional to 354,273.54, 531,214.47 and 140,825.22 is: 211,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,273.54 : 531,214.47 = 140,825.22 : x
  2. Step 2: Convert to fraction form
    354,273.54/531,214.47 = 140,825.22/x
  3. Step 3: Cross multiply
    354,273.54x = 531,214.47 × 140,825.22
  4. Step 4: Simplify right side
    354,273.54x = 74,808,394,604.93
  5. Step 5: Solve for x
    x = 74,808,394,604.93/354,273.54
  6. Step 6: Final answer
    x = 211,159.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.