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Finding the Fourth Proportional to 265,841.94, 398,418.46 and 107,984.28

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Solution

The fourth proportional to 265,841.94, 398,418.46 and 107,984.28 is: 161,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,841.94 : 398,418.46 = 107,984.28 : x
  2. Step 2: Convert to fraction form
    265,841.94/398,418.46 = 107,984.28/x
  3. Step 3: Cross multiply
    265,841.94x = 398,418.46 × 107,984.28
  4. Step 4: Simplify right side
    265,841.94x = 43,022,930,541.81
  5. Step 5: Solve for x
    x = 43,022,930,541.81/265,841.94
  6. Step 6: Final answer
    x = 161,836.51

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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.