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Finding the Fourth Proportional to 263,906.40, 364,239.59 and 150,729.15

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Solution

The fourth proportional to 263,906.40, 364,239.59 and 150,729.15 is: 208,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,906.40 : 364,239.59 = 150,729.15 : x
  2. Step 2: Convert to fraction form
    263,906.40/364,239.59 = 150,729.15/x
  3. Step 3: Cross multiply
    263,906.40x = 364,239.59 × 150,729.15
  4. Step 4: Simplify right side
    263,906.40x = 54,901,523,043.40
  5. Step 5: Solve for x
    x = 54,901,523,043.40/263,906.40
  6. Step 6: Final answer
    x = 208,034.07

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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.