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Finding the Fourth Proportional to 211,602.38, 317,405.43 and 53,831

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Solution

The fourth proportional to 211,602.38, 317,405.43 and 53,831 is: 80,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,602.38 : 317,405.43 = 53,831 : x
  2. Step 2: Convert to fraction form
    211,602.38/317,405.43 = 53,831/x
  3. Step 3: Cross multiply
    211,602.38x = 317,405.43 × 53,831
  4. Step 4: Simplify right side
    211,602.38x = 17,086,251,702.33
  5. Step 5: Solve for x
    x = 17,086,251,702.33/211,602.38
  6. Step 6: Final answer
    x = 80,746.97

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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.