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Finding the Fourth Proportional to 258,176.67, 356,245.16 and 144,977.55

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Solution

The fourth proportional to 258,176.67, 356,245.16 and 144,977.55 is: 200,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,176.67 : 356,245.16 = 144,977.55 : x
  2. Step 2: Convert to fraction form
    258,176.67/356,245.16 = 144,977.55/x
  3. Step 3: Cross multiply
    258,176.67x = 356,245.16 × 144,977.55
  4. Step 4: Simplify right side
    258,176.67x = 51,647,549,771.27
  5. Step 5: Solve for x
    x = 51,647,549,771.27/258,176.67
  6. Step 6: Final answer
    x = 200,047.32

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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.