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Finding the Fourth Proportional to 298,731.20, 448,096.80 and 188,139.20

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Solution

The fourth proportional to 298,731.20, 448,096.80 and 188,139.20 is: 282,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731.20 : 448,096.80 = 188,139.20 : x
  2. Step 2: Convert to fraction form
    298,731.20/448,096.80 = 188,139.20/x
  3. Step 3: Cross multiply
    298,731.20x = 448,096.80 × 188,139.20
  4. Step 4: Simplify right side
    298,731.20x = 84,304,573,474.56
  5. Step 5: Solve for x
    x = 84,304,573,474.56/298,731.20
  6. Step 6: Final answer
    x = 282,208.80

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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.