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Finding the Fourth Proportional to 200,651.78, 300,953.07 and 116,457.75

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Solution

The fourth proportional to 200,651.78, 300,953.07 and 116,457.75 is: 174,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,651.78 : 300,953.07 = 116,457.75 : x
  2. Step 2: Convert to fraction form
    200,651.78/300,953.07 = 116,457.75/x
  3. Step 3: Cross multiply
    200,651.78x = 300,953.07 × 116,457.75
  4. Step 4: Simplify right side
    200,651.78x = 35,048,317,387.79
  5. Step 5: Solve for x
    x = 35,048,317,387.79/200,651.78
  6. Step 6: Final answer
    x = 174,672.35

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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.