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Finding the Fourth Proportional to 298,103.12, 447,198.96 and 98,444.56

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Solution

The fourth proportional to 298,103.12, 447,198.96 and 98,444.56 is: 147,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,103.12 : 447,198.96 = 98,444.56 : x
  2. Step 2: Convert to fraction form
    298,103.12/447,198.96 = 98,444.56/x
  3. Step 3: Cross multiply
    298,103.12x = 447,198.96 × 98,444.56
  4. Step 4: Simplify right side
    298,103.12x = 44,024,304,849.66
  5. Step 5: Solve for x
    x = 44,024,304,849.66/298,103.12
  6. Step 6: Final answer
    x = 147,681.46

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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.