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Finding the Fourth Proportional to 269,055.86, 371,299.65 and 148,197.65

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Solution

The fourth proportional to 269,055.86, 371,299.65 and 148,197.65 is: 204,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,055.86 : 371,299.65 = 148,197.65 : x
  2. Step 2: Convert to fraction form
    269,055.86/371,299.65 = 148,197.65/x
  3. Step 3: Cross multiply
    269,055.86x = 371,299.65 × 148,197.65
  4. Step 4: Simplify right side
    269,055.86x = 55,025,735,575.82
  5. Step 5: Solve for x
    x = 55,025,735,575.82/269,055.86
  6. Step 6: Final answer
    x = 204,514.17

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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.