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Finding the Fourth Proportional to 275,427.80, 413,094.21 and 73,025.34

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Solution

The fourth proportional to 275,427.80, 413,094.21 and 73,025.34 is: 109,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,427.80 : 413,094.21 = 73,025.34 : x
  2. Step 2: Convert to fraction form
    275,427.80/413,094.21 = 73,025.34/x
  3. Step 3: Cross multiply
    275,427.80x = 413,094.21 × 73,025.34
  4. Step 4: Simplify right side
    275,427.80x = 30,166,343,071.81
  5. Step 5: Solve for x
    x = 30,166,343,071.81/275,427.80
  6. Step 6: Final answer
    x = 109,525.41

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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.