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Finding the Fourth Proportional to 129,576.30, 178,754.16 and 75,828.06

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Solution

The fourth proportional to 129,576.30, 178,754.16 and 75,828.06 is: 104,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,576.30 : 178,754.16 = 75,828.06 : x
  2. Step 2: Convert to fraction form
    129,576.30/178,754.16 = 75,828.06/x
  3. Step 3: Cross multiply
    129,576.30x = 178,754.16 × 75,828.06
  4. Step 4: Simplify right side
    129,576.30x = 13,554,581,169.73
  5. Step 5: Solve for x
    x = 13,554,581,169.73/129,576.30
  6. Step 6: Final answer
    x = 104,606.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.