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Finding the Fourth Proportional to 200,094.48, 300,353.16 and 195,576.72

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Solution

The fourth proportional to 200,094.48, 300,353.16 and 195,576.72 is: 293,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094.48 : 300,353.16 = 195,576.72 : x
  2. Step 2: Convert to fraction form
    200,094.48/300,353.16 = 195,576.72/x
  3. Step 3: Cross multiply
    200,094.48x = 300,353.16 × 195,576.72
  4. Step 4: Simplify right side
    200,094.48x = 58,742,085,874.44
  5. Step 5: Solve for x
    x = 58,742,085,874.44/200,094.48
  6. Step 6: Final answer
    x = 293,571.75

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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.