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Finding the Fourth Proportional to 286,647.72, 430,023.28 and 118,076.05

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Solution

The fourth proportional to 286,647.72, 430,023.28 and 118,076.05 is: 177,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,647.72 : 430,023.28 = 118,076.05 : x
  2. Step 2: Convert to fraction form
    286,647.72/430,023.28 = 118,076.05/x
  3. Step 3: Cross multiply
    286,647.72x = 430,023.28 × 118,076.05
  4. Step 4: Simplify right side
    286,647.72x = 50,775,450,310.44
  5. Step 5: Solve for x
    x = 50,775,450,310.44/286,647.72
  6. Step 6: Final answer
    x = 177,135.37

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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.