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Finding the Fourth Proportional to 354,186.54, 531,362.86 and 140,967.37

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Solution

The fourth proportional to 354,186.54, 531,362.86 and 140,967.37 is: 211,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,186.54 : 531,362.86 = 140,967.37 : x
  2. Step 2: Convert to fraction form
    354,186.54/531,362.86 = 140,967.37/x
  3. Step 3: Cross multiply
    354,186.54x = 531,362.86 × 140,967.37
  4. Step 4: Simplify right side
    354,186.54x = 74,904,825,317.93
  5. Step 5: Solve for x
    x = 74,904,825,317.93/354,186.54
  6. Step 6: Final answer
    x = 211,484.11

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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.