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Finding the Fourth Proportional to 171,380.40, 257,070.60 and 145,201.20

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Solution

The fourth proportional to 171,380.40, 257,070.60 and 145,201.20 is: 217,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,380.40 : 257,070.60 = 145,201.20 : x
  2. Step 2: Convert to fraction form
    171,380.40/257,070.60 = 145,201.20/x
  3. Step 3: Cross multiply
    171,380.40x = 257,070.60 × 145,201.20
  4. Step 4: Simplify right side
    171,380.40x = 37,326,959,604.72
  5. Step 5: Solve for x
    x = 37,326,959,604.72/171,380.40
  6. Step 6: Final answer
    x = 217,801.80

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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.