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Finding the Fourth Proportional to 258,907.44, 357,289.38 and 144,183.58

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Solution

The fourth proportional to 258,907.44, 357,289.38 and 144,183.58 is: 198,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,907.44 : 357,289.38 = 144,183.58 : x
  2. Step 2: Convert to fraction form
    258,907.44/357,289.38 = 144,183.58/x
  3. Step 3: Cross multiply
    258,907.44x = 357,289.38 × 144,183.58
  4. Step 4: Simplify right side
    258,907.44x = 51,515,260,117.93
  5. Step 5: Solve for x
    x = 51,515,260,117.93/258,907.44
  6. Step 6: Final answer
    x = 198,971.73

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1.5x scale

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.