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Finding the Fourth Proportional to 228,092.94, 342,208.26 and 121,458.47

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Solution

The fourth proportional to 228,092.94, 342,208.26 and 121,458.47 is: 182,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,092.94 : 342,208.26 = 121,458.47 : x
  2. Step 2: Convert to fraction form
    228,092.94/342,208.26 = 121,458.47/x
  3. Step 3: Cross multiply
    228,092.94x = 342,208.26 × 121,458.47
  4. Step 4: Simplify right side
    228,092.94x = 41,564,089,969.92
  5. Step 5: Solve for x
    x = 41,564,089,969.92/228,092.94
  6. Step 6: Final answer
    x = 182,224.36

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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.