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Finding the Fourth Proportional to 211,200.36, 316,801.80 and 53,428.74

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Solution

The fourth proportional to 211,200.36, 316,801.80 and 53,428.74 is: 80,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,200.36 : 316,801.80 = 53,428.74 : x
  2. Step 2: Convert to fraction form
    211,200.36/316,801.80 = 53,428.74/x
  3. Step 3: Cross multiply
    211,200.36x = 316,801.80 × 53,428.74
  4. Step 4: Simplify right side
    211,200.36x = 16,926,321,003.73
  5. Step 5: Solve for x
    x = 16,926,321,003.73/211,200.36
  6. Step 6: Final answer
    x = 80,143.43

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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.