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Finding the Fourth Proportional to 550,031.72, 825,048.30 and 150,676

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Solution

The fourth proportional to 550,031.72, 825,048.30 and 150,676 is: 226,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,031.72 : 825,048.30 = 150,676 : x
  2. Step 2: Convert to fraction form
    550,031.72/825,048.30 = 150,676/x
  3. Step 3: Cross multiply
    550,031.72x = 825,048.30 × 150,676
  4. Step 4: Simplify right side
    550,031.72x = 124,314,977,650.80
  5. Step 5: Solve for x
    x = 124,314,977,650.80/550,031.72
  6. Step 6: Final answer
    x = 226,014.20

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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.