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Finding the Fourth Proportional to 140,576.67, 210,865.14 and 57,470.67

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Solution

The fourth proportional to 140,576.67, 210,865.14 and 57,470.67 is: 86,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,576.67 : 210,865.14 = 57,470.67 : x
  2. Step 2: Convert to fraction form
    140,576.67/210,865.14 = 57,470.67/x
  3. Step 3: Cross multiply
    140,576.67x = 210,865.14 × 57,470.67
  4. Step 4: Simplify right side
    140,576.67x = 12,118,560,875.44
  5. Step 5: Solve for x
    x = 12,118,560,875.44/140,576.67
  6. Step 6: Final answer
    x = 86,206.06

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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.