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Finding the Fourth Proportional to 297,767.72, 446,713.14 and 98,100.38

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Solution

The fourth proportional to 297,767.72, 446,713.14 and 98,100.38 is: 147,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,767.72 : 446,713.14 = 98,100.38 : x
  2. Step 2: Convert to fraction form
    297,767.72/446,713.14 = 98,100.38/x
  3. Step 3: Cross multiply
    297,767.72x = 446,713.14 × 98,100.38
  4. Step 4: Simplify right side
    297,767.72x = 43,822,728,784.99
  5. Step 5: Solve for x
    x = 43,822,728,784.99/297,767.72
  6. Step 6: Final answer
    x = 147,170.85

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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.