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Finding the Fourth Proportional to 301,025.54, 415,399.25 and 171,938.66

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Solution

The fourth proportional to 301,025.54, 415,399.25 and 171,938.66 is: 237,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.54 : 415,399.25 = 171,938.66 : x
  2. Step 2: Convert to fraction form
    301,025.54/415,399.25 = 171,938.66/x
  3. Step 3: Cross multiply
    301,025.54x = 415,399.25 × 171,938.66
  4. Step 4: Simplify right side
    301,025.54x = 71,423,188,762.86
  5. Step 5: Solve for x
    x = 71,423,188,762.86/301,025.54
  6. Step 6: Final answer
    x = 237,266.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.