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Finding the Fourth Proportional to 382,064.40, 572,732.10 and 142,114.05

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Solution

The fourth proportional to 382,064.40, 572,732.10 and 142,114.05 is: 213,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,064.40 : 572,732.10 = 142,114.05 : x
  2. Step 2: Convert to fraction form
    382,064.40/572,732.10 = 142,114.05/x
  3. Step 3: Cross multiply
    382,064.40x = 572,732.10 × 142,114.05
  4. Step 4: Simplify right side
    382,064.40x = 81,393,278,296.01
  5. Step 5: Solve for x
    x = 81,393,278,296.01/382,064.40
  6. Step 6: Final answer
    x = 213,035.49

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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.