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Finding the Fourth Proportional to 292,890.65, 404,198.64 and 162,069.78

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Solution

The fourth proportional to 292,890.65, 404,198.64 and 162,069.78 is: 223,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,890.65 : 404,198.64 = 162,069.78 : x
  2. Step 2: Convert to fraction form
    292,890.65/404,198.64 = 162,069.78/x
  3. Step 3: Cross multiply
    292,890.65x = 404,198.64 × 162,069.78
  4. Step 4: Simplify right side
    292,890.65x = 65,508,384,661.10
  5. Step 5: Solve for x
    x = 65,508,384,661.10/292,890.65
  6. Step 6: Final answer
    x = 223,661.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.