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Finding the Fourth Proportional to 129,797.66, 194,696.51 and 54,898.38

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Solution

The fourth proportional to 129,797.66, 194,696.51 and 54,898.38 is: 82,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797.66 : 194,696.51 = 54,898.38 : x
  2. Step 2: Convert to fraction form
    129,797.66/194,696.51 = 54,898.38/x
  3. Step 3: Cross multiply
    129,797.66x = 194,696.51 × 54,898.38
  4. Step 4: Simplify right side
    129,797.66x = 10,688,522,716.16
  5. Step 5: Solve for x
    x = 10,688,522,716.16/129,797.66
  6. Step 6: Final answer
    x = 82,347.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.