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Finding the Fourth Proportional to 171,813.64, 237,114.66 and 96,367

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Solution

The fourth proportional to 171,813.64, 237,114.66 and 96,367 is: 132,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813.64 : 237,114.66 = 96,367 : x
  2. Step 2: Convert to fraction form
    171,813.64/237,114.66 = 96,367/x
  3. Step 3: Cross multiply
    171,813.64x = 237,114.66 × 96,367
  4. Step 4: Simplify right side
    171,813.64x = 22,850,028,440.22
  5. Step 5: Solve for x
    x = 22,850,028,440.22/171,813.64
  6. Step 6: Final answer
    x = 132,993.10

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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.