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Finding the Fourth Proportional to 519,107.50, 778,656.30 and 164,121.46

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Solution

The fourth proportional to 519,107.50, 778,656.30 and 164,121.46 is: 246,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,107.50 : 778,656.30 = 164,121.46 : x
  2. Step 2: Convert to fraction form
    519,107.50/778,656.30 = 164,121.46/x
  3. Step 3: Cross multiply
    519,107.50x = 778,656.30 × 164,121.46
  4. Step 4: Simplify right side
    519,107.50x = 127,794,208,794.20
  5. Step 5: Solve for x
    x = 127,794,208,794.20/519,107.50
  6. Step 6: Final answer
    x = 246,180.63

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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.