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Finding the Fourth Proportional to 374,762.40, 561,949.20 and 137,983.20

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Solution

The fourth proportional to 374,762.40, 561,949.20 and 137,983.20 is: 206,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,762.40 : 561,949.20 = 137,983.20 : x
  2. Step 2: Convert to fraction form
    374,762.40/561,949.20 = 137,983.20/x
  3. Step 3: Cross multiply
    374,762.40x = 561,949.20 × 137,983.20
  4. Step 4: Simplify right side
    374,762.40x = 77,539,548,853.44
  5. Step 5: Solve for x
    x = 77,539,548,853.44/374,762.40
  6. Step 6: Final answer
    x = 206,903.22

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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.