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Finding the Fourth Proportional to 295,971.44, 444,022.91 and 138,113.78

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Solution

The fourth proportional to 295,971.44, 444,022.91 and 138,113.78 is: 207,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,971.44 : 444,022.91 = 138,113.78 : x
  2. Step 2: Convert to fraction form
    295,971.44/444,022.91 = 138,113.78/x
  3. Step 3: Cross multiply
    295,971.44x = 444,022.91 × 138,113.78
  4. Step 4: Simplify right side
    295,971.44x = 61,325,679,596.02
  5. Step 5: Solve for x
    x = 61,325,679,596.02/295,971.44
  6. Step 6: Final answer
    x = 207,201.35

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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.