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Finding the Fourth Proportional to 200,628.91, 300,918.76 and 116,434.88

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Solution

The fourth proportional to 200,628.91, 300,918.76 and 116,434.88 is: 174,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,628.91 : 300,918.76 = 116,434.88 : x
  2. Step 2: Convert to fraction form
    200,628.91/300,918.76 = 116,434.88/x
  3. Step 3: Cross multiply
    200,628.91x = 300,918.76 × 116,434.88
  4. Step 4: Simplify right side
    200,628.91x = 35,037,437,914.67
  5. Step 5: Solve for x
    x = 35,037,437,914.67/200,628.91
  6. Step 6: Final answer
    x = 174,638.03

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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.