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Finding the Fourth Proportional to 286,153.68, 429,651.84 and 160,041

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Solution

The fourth proportional to 286,153.68, 429,651.84 and 160,041 is: 240,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,153.68 : 429,651.84 = 160,041 : x
  2. Step 2: Convert to fraction form
    286,153.68/429,651.84 = 160,041/x
  3. Step 3: Cross multiply
    286,153.68x = 429,651.84 × 160,041
  4. Step 4: Simplify right side
    286,153.68x = 68,761,910,125.44
  5. Step 5: Solve for x
    x = 68,761,910,125.44/286,153.68
  6. Step 6: Final answer
    x = 240,297.14

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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.