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Finding the Fourth Proportional to 200,974.87, 301,019.43 and 112,007.71

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Solution

The fourth proportional to 200,974.87, 301,019.43 and 112,007.71 is: 167,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,974.87 : 301,019.43 = 112,007.71 : x
  2. Step 2: Convert to fraction form
    200,974.87/301,019.43 = 112,007.71/x
  3. Step 3: Cross multiply
    200,974.87x = 301,019.43 × 112,007.71
  4. Step 4: Simplify right side
    200,974.87x = 33,716,495,514.71
  5. Step 5: Solve for x
    x = 33,716,495,514.71/200,974.87
  6. Step 6: Final answer
    x = 167,764.74

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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.