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Finding the Fourth Proportional to 382,137.42, 573,211.62 and 145,493.10

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Solution

The fourth proportional to 382,137.42, 573,211.62 and 145,493.10 is: 218,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,137.42 : 573,211.62 = 145,493.10 : x
  2. Step 2: Convert to fraction form
    382,137.42/573,211.62 = 145,493.10/x
  3. Step 3: Cross multiply
    382,137.42x = 573,211.62 × 145,493.10
  4. Step 4: Simplify right side
    382,137.42x = 83,398,335,549.82
  5. Step 5: Solve for x
    x = 83,398,335,549.82/382,137.42
  6. Step 6: Final answer
    x = 218,241.74

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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.