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Finding the Fourth Proportional to 129,825.96, 194,731.60 and 45,590

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Solution

The fourth proportional to 129,825.96, 194,731.60 and 45,590 is: 68,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825.96 : 194,731.60 = 45,590 : x
  2. Step 2: Convert to fraction form
    129,825.96/194,731.60 = 45,590/x
  3. Step 3: Cross multiply
    129,825.96x = 194,731.60 × 45,590
  4. Step 4: Simplify right side
    129,825.96x = 8,877,813,644
  5. Step 5: Solve for x
    x = 8,877,813,644/129,825.96
  6. Step 6: Final answer
    x = 68,382.42

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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.