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Finding the Fourth Proportional to 305,096.93, 421,080.36 and 194,763.24

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Solution

The fourth proportional to 305,096.93, 421,080.36 and 194,763.24 is: 268,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,096.93 : 421,080.36 = 194,763.24 : x
  2. Step 2: Convert to fraction form
    305,096.93/421,080.36 = 194,763.24/x
  3. Step 3: Cross multiply
    305,096.93x = 421,080.36 × 194,763.24
  4. Step 4: Simplify right side
    305,096.93x = 82,010,973,108.56
  5. Step 5: Solve for x
    x = 82,010,973,108.56/305,096.93
  6. Step 6: Final answer
    x = 268,803.01

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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.