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Finding the Fourth Proportional to 200,883.65, 300,863.70 and 116,434.94

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Solution

The fourth proportional to 200,883.65, 300,863.70 and 116,434.94 is: 174,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,883.65 : 300,863.70 = 116,434.94 : x
  2. Step 2: Convert to fraction form
    200,883.65/300,863.70 = 116,434.94/x
  3. Step 3: Cross multiply
    200,883.65x = 300,863.70 × 116,434.94
  4. Step 4: Simplify right side
    200,883.65x = 35,031,045,353.36
  5. Step 5: Solve for x
    x = 35,031,045,353.36/200,883.65
  6. Step 6: Final answer
    x = 174,384.76

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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.