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Finding the Fourth Proportional to 295,786.20, 443,023.20 and 118,201.80

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Solution

The fourth proportional to 295,786.20, 443,023.20 and 118,201.80 is: 177,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,786.20 : 443,023.20 = 118,201.80 : x
  2. Step 2: Convert to fraction form
    295,786.20/443,023.20 = 118,201.80/x
  3. Step 3: Cross multiply
    295,786.20x = 443,023.20 × 118,201.80
  4. Step 4: Simplify right side
    295,786.20x = 52,366,139,681.76
  5. Step 5: Solve for x
    x = 52,366,139,681.76/295,786.20
  6. Step 6: Final answer
    x = 177,040.51

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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.