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Finding the Fourth Proportional to 285,416, 393,874.08 and 158,099.84

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Solution

The fourth proportional to 285,416, 393,874.08 and 158,099.84 is: 218,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,416 : 393,874.08 = 158,099.84 : x
  2. Step 2: Convert to fraction form
    285,416/393,874.08 = 158,099.84/x
  3. Step 3: Cross multiply
    285,416x = 393,874.08 × 158,099.84
  4. Step 4: Simplify right side
    285,416x = 62,271,429,028.15
  5. Step 5: Solve for x
    x = 62,271,429,028.15/285,416
  6. Step 6: Final answer
    x = 218,177.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.