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Finding the Fourth Proportional to 258,004.70, 356,055.32 and 143,285.15

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Solution

The fourth proportional to 258,004.70, 356,055.32 and 143,285.15 is: 197,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,004.70 : 356,055.32 = 143,285.15 : x
  2. Step 2: Convert to fraction form
    258,004.70/356,055.32 = 143,285.15/x
  3. Step 3: Cross multiply
    258,004.70x = 356,055.32 × 143,285.15
  4. Step 4: Simplify right side
    258,004.70x = 51,017,438,512.43
  5. Step 5: Solve for x
    x = 51,017,438,512.43/258,004.70
  6. Step 6: Final answer
    x = 197,738.41

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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.