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Finding the Fourth Proportional to 211,266.22, 316,900.05 and 53,494.60

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Solution

The fourth proportional to 211,266.22, 316,900.05 and 53,494.60 is: 80,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266.22 : 316,900.05 = 53,494.60 : x
  2. Step 2: Convert to fraction form
    211,266.22/316,900.05 = 53,494.60/x
  3. Step 3: Cross multiply
    211,266.22x = 316,900.05 × 53,494.60
  4. Step 4: Simplify right side
    211,266.22x = 16,952,441,414.73
  5. Step 5: Solve for x
    x = 16,952,441,414.73/211,266.22
  6. Step 6: Final answer
    x = 80,242.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.