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Finding the Fourth Proportional to 208,573.21, 312,952.83 and 96,193

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Solution

The fourth proportional to 208,573.21, 312,952.83 and 96,193 is: 144,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,573.21 : 312,952.83 = 96,193 : x
  2. Step 2: Convert to fraction form
    208,573.21/312,952.83 = 96,193/x
  3. Step 3: Cross multiply
    208,573.21x = 312,952.83 × 96,193
  4. Step 4: Simplify right side
    208,573.21x = 30,103,871,576.19
  5. Step 5: Solve for x
    x = 30,103,871,576.19/208,573.21
  6. Step 6: Final answer
    x = 144,332.40

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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.