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Finding the Fourth Proportional to 367,097.80, 550,847.40 and 142,467.16

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Solution

The fourth proportional to 367,097.80, 550,847.40 and 142,467.16 is: 213,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,097.80 : 550,847.40 = 142,467.16 : x
  2. Step 2: Convert to fraction form
    367,097.80/550,847.40 = 142,467.16/x
  3. Step 3: Cross multiply
    367,097.80x = 550,847.40 × 142,467.16
  4. Step 4: Simplify right side
    367,097.80x = 78,477,664,671.38
  5. Step 5: Solve for x
    x = 78,477,664,671.38/367,097.80
  6. Step 6: Final answer
    x = 213,778.63

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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.