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Finding the Fourth Proportional to 98,992, 148,116 and 69,467.44

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Solution

The fourth proportional to 98,992, 148,116 and 69,467.44 is: 103,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,992 : 148,116 = 69,467.44 : x
  2. Step 2: Convert to fraction form
    98,992/148,116 = 69,467.44/x
  3. Step 3: Cross multiply
    98,992x = 148,116 × 69,467.44
  4. Step 4: Simplify right side
    98,992x = 10,289,239,343.04
  5. Step 5: Solve for x
    x = 10,289,239,343.04/98,992
  6. Step 6: Final answer
    x = 103,940.11

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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.