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Finding the Fourth Proportional to 211,632.84, 317,451.18 and 53,861.48

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Solution

The fourth proportional to 211,632.84, 317,451.18 and 53,861.48 is: 80,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,632.84 : 317,451.18 = 53,861.48 : x
  2. Step 2: Convert to fraction form
    211,632.84/317,451.18 = 53,861.48/x
  3. Step 3: Cross multiply
    211,632.84x = 317,451.18 × 53,861.48
  4. Step 4: Simplify right side
    211,632.84x = 17,098,390,382.55
  5. Step 5: Solve for x
    x = 17,098,390,382.55/211,632.84
  6. Step 6: Final answer
    x = 80,792.71

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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.