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Finding the Fourth Proportional to 295,968.44, 444,018.41 and 138,110.78

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Solution

The fourth proportional to 295,968.44, 444,018.41 and 138,110.78 is: 207,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,968.44 : 444,018.41 = 138,110.78 : x
  2. Step 2: Convert to fraction form
    295,968.44/444,018.41 = 138,110.78/x
  3. Step 3: Cross multiply
    295,968.44x = 444,018.41 × 138,110.78
  4. Step 4: Simplify right side
    295,968.44x = 61,323,726,028.81
  5. Step 5: Solve for x
    x = 61,323,726,028.81/295,968.44
  6. Step 6: Final answer
    x = 207,196.85

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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.