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Finding the Fourth Proportional to 269,045.46, 371,289.77 and 146,542.49

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Solution

The fourth proportional to 269,045.46, 371,289.77 and 146,542.49 is: 202,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,045.46 : 371,289.77 = 146,542.49 : x
  2. Step 2: Convert to fraction form
    269,045.46/371,289.77 = 146,542.49/x
  3. Step 3: Cross multiply
    269,045.46x = 371,289.77 × 146,542.49
  4. Step 4: Simplify right side
    269,045.46x = 54,409,727,407.33
  5. Step 5: Solve for x
    x = 54,409,727,407.33/269,045.46
  6. Step 6: Final answer
    x = 202,232.47

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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.