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Finding the Fourth Proportional to 264,085.80, 364,431.48 and 150,908.52

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Solution

The fourth proportional to 264,085.80, 364,431.48 and 150,908.52 is: 208,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,085.80 : 364,431.48 = 150,908.52 : x
  2. Step 2: Convert to fraction form
    264,085.80/364,431.48 = 150,908.52/x
  3. Step 3: Cross multiply
    264,085.80x = 364,431.48 × 150,908.52
  4. Step 4: Simplify right side
    264,085.80x = 54,995,815,288.21
  5. Step 5: Solve for x
    x = 54,995,815,288.21/264,085.80
  6. Step 6: Final answer
    x = 208,249.80

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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.