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Finding the Fourth Proportional to 129,899, 194,285.60 and 76,463.64

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Solution

The fourth proportional to 129,899, 194,285.60 and 76,463.64 is: 114,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,899 : 194,285.60 = 76,463.64 : x
  2. Step 2: Convert to fraction form
    129,899/194,285.60 = 76,463.64/x
  3. Step 3: Cross multiply
    129,899x = 194,285.60 × 76,463.64
  4. Step 4: Simplify right side
    129,899x = 14,855,784,175.58
  5. Step 5: Solve for x
    x = 14,855,784,175.58/129,899
  6. Step 6: Final answer
    x = 114,364.12

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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.