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Finding the Fourth Proportional to 374,134.80, 561,202.20 and 137,647.20

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Solution

The fourth proportional to 374,134.80, 561,202.20 and 137,647.20 is: 206,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134.80 : 561,202.20 = 137,647.20 : x
  2. Step 2: Convert to fraction form
    374,134.80/561,202.20 = 137,647.20/x
  3. Step 3: Cross multiply
    374,134.80x = 561,202.20 × 137,647.20
  4. Step 4: Simplify right side
    374,134.80x = 77,247,911,463.84
  5. Step 5: Solve for x
    x = 77,247,911,463.84/374,134.80
  6. Step 6: Final answer
    x = 206,470.80

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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.