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Finding the Fourth Proportional to 227,114.56, 313,424.41 and 130,326.60

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Solution

The fourth proportional to 227,114.56, 313,424.41 and 130,326.60 is: 179,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,114.56 : 313,424.41 = 130,326.60 : x
  2. Step 2: Convert to fraction form
    227,114.56/313,424.41 = 130,326.60/x
  3. Step 3: Cross multiply
    227,114.56x = 313,424.41 × 130,326.60
  4. Step 4: Simplify right side
    227,114.56x = 40,847,535,819.37
  5. Step 5: Solve for x
    x = 40,847,535,819.37/227,114.56
  6. Step 6: Final answer
    x = 179,854.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.