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Finding the Fourth Proportional to 264,080.40, 395,537.40 and 106,227.60

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Solution

The fourth proportional to 264,080.40, 395,537.40 and 106,227.60 is: 159,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,080.40 : 395,537.40 = 106,227.60 : x
  2. Step 2: Convert to fraction form
    264,080.40/395,537.40 = 106,227.60/x
  3. Step 3: Cross multiply
    264,080.40x = 395,537.40 × 106,227.60
  4. Step 4: Simplify right side
    264,080.40x = 42,016,988,712.24
  5. Step 5: Solve for x
    x = 42,016,988,712.24/264,080.40
  6. Step 6: Final answer
    x = 159,106.81

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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.