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Finding the Fourth Proportional to 129,000, 193,491.36 and 35,506.56

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Solution

The fourth proportional to 129,000, 193,491.36 and 35,506.56 is: 53,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,000 : 193,491.36 = 35,506.56 : x
  2. Step 2: Convert to fraction form
    129,000/193,491.36 = 35,506.56/x
  3. Step 3: Cross multiply
    129,000x = 193,491.36 × 35,506.56
  4. Step 4: Simplify right side
    129,000x = 6,870,212,583.32
  5. Step 5: Solve for x
    x = 6,870,212,583.32/129,000
  6. Step 6: Final answer
    x = 53,257.46

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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.