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Finding the Fourth Proportional to 114,377.64, 171,333.06 and 58,857

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Solution

The fourth proportional to 114,377.64, 171,333.06 and 58,857 is: 88,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,377.64 : 171,333.06 = 58,857 : x
  2. Step 2: Convert to fraction form
    114,377.64/171,333.06 = 58,857/x
  3. Step 3: Cross multiply
    114,377.64x = 171,333.06 × 58,857
  4. Step 4: Simplify right side
    114,377.64x = 10,084,149,912.42
  5. Step 5: Solve for x
    x = 10,084,149,912.42/114,377.64
  6. Step 6: Final answer
    x = 88,165.40

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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.