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Finding the Fourth Proportional to 106,384.30, 159,576.45 and 73,206.70

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Solution

The fourth proportional to 106,384.30, 159,576.45 and 73,206.70 is: 109,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.30 : 159,576.45 = 73,206.70 : x
  2. Step 2: Convert to fraction form
    106,384.30/159,576.45 = 73,206.70/x
  3. Step 3: Cross multiply
    106,384.30x = 159,576.45 × 73,206.70
  4. Step 4: Simplify right side
    106,384.30x = 11,682,065,302.22
  5. Step 5: Solve for x
    x = 11,682,065,302.22/106,384.30
  6. Step 6: Final answer
    x = 109,810.05

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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.