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Finding the Fourth Proportional to 215,830.40, 323,745.60 and 141,180.80

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Solution

The fourth proportional to 215,830.40, 323,745.60 and 141,180.80 is: 211,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,830.40 : 323,745.60 = 141,180.80 : x
  2. Step 2: Convert to fraction form
    215,830.40/323,745.60 = 141,180.80/x
  3. Step 3: Cross multiply
    215,830.40x = 323,745.60 × 141,180.80
  4. Step 4: Simplify right side
    215,830.40x = 45,706,662,804.48
  5. Step 5: Solve for x
    x = 45,706,662,804.48/215,830.40
  6. Step 6: Final answer
    x = 211,771.20

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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.