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Finding the Fourth Proportional to 120,698.67, 181,045.88 and 49,653.98

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Solution

The fourth proportional to 120,698.67, 181,045.88 and 49,653.98 is: 74,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.67 : 181,045.88 = 49,653.98 : x
  2. Step 2: Convert to fraction form
    120,698.67/181,045.88 = 49,653.98/x
  3. Step 3: Cross multiply
    120,698.67x = 181,045.88 × 49,653.98
  4. Step 4: Simplify right side
    120,698.67x = 8,989,647,351.10
  5. Step 5: Solve for x
    x = 8,989,647,351.10/120,698.67
  6. Step 6: Final answer
    x = 74,480.09

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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.