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Finding the Fourth Proportional to 382,138.20, 573,212.70 and 145,493.82

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Solution

The fourth proportional to 382,138.20, 573,212.70 and 145,493.82 is: 218,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,138.20 : 573,212.70 = 145,493.82 : x
  2. Step 2: Convert to fraction form
    382,138.20/573,212.70 = 145,493.82/x
  3. Step 3: Cross multiply
    382,138.20x = 573,212.70 × 145,493.82
  4. Step 4: Simplify right side
    382,138.20x = 83,398,905,395.51
  5. Step 5: Solve for x
    x = 83,398,905,395.51/382,138.20
  6. Step 6: Final answer
    x = 218,242.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.