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Finding the Fourth Proportional to 212,768.80, 319,268.40 and 94,458.40

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Solution

The fourth proportional to 212,768.80, 319,268.40 and 94,458.40 is: 141,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,768.80 : 319,268.40 = 94,458.40 : x
  2. Step 2: Convert to fraction form
    212,768.80/319,268.40 = 94,458.40/x
  3. Step 3: Cross multiply
    212,768.80x = 319,268.40 × 94,458.40
  4. Step 4: Simplify right side
    212,768.80x = 30,157,582,234.56
  5. Step 5: Solve for x
    x = 30,157,582,234.56/212,768.80
  6. Step 6: Final answer
    x = 141,738.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.