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Finding the Fourth Proportional to 374,137.80, 561,206.70 and 137,650.20

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Solution

The fourth proportional to 374,137.80, 561,206.70 and 137,650.20 is: 206,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,137.80 : 561,206.70 = 137,650.20 : x
  2. Step 2: Convert to fraction form
    374,137.80/561,206.70 = 137,650.20/x
  3. Step 3: Cross multiply
    374,137.80x = 561,206.70 × 137,650.20
  4. Step 4: Simplify right side
    374,137.80x = 77,250,214,496.34
  5. Step 5: Solve for x
    x = 77,250,214,496.34/374,137.80
  6. Step 6: Final answer
    x = 206,475.30

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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.