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Finding the Fourth Proportional to 228,181.44, 342,277.44 and 78,420.48

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Solution

The fourth proportional to 228,181.44, 342,277.44 and 78,420.48 is: 117,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,181.44 : 342,277.44 = 78,420.48 : x
  2. Step 2: Convert to fraction form
    228,181.44/342,277.44 = 78,420.48/x
  3. Step 3: Cross multiply
    228,181.44x = 342,277.44 × 78,420.48
  4. Step 4: Simplify right side
    228,181.44x = 26,841,561,137.97
  5. Step 5: Solve for x
    x = 26,841,561,137.97/228,181.44
  6. Step 6: Final answer
    x = 117,632.53

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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.