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Finding the Fourth Proportional to 298,892.21, 448,240.82 and 99,158.97

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Solution

The fourth proportional to 298,892.21, 448,240.82 and 99,158.97 is: 148,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,892.21 : 448,240.82 = 99,158.97 : x
  2. Step 2: Convert to fraction form
    298,892.21/448,240.82 = 99,158.97/x
  3. Step 3: Cross multiply
    298,892.21x = 448,240.82 × 99,158.97
  4. Step 4: Simplify right side
    298,892.21x = 44,447,097,527.36
  5. Step 5: Solve for x
    x = 44,447,097,527.36/298,892.21
  6. Step 6: Final answer
    x = 148,706.11

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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.