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Finding the Fourth Proportional to 274,016.80, 410,830.80 and 124,328.80

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Solution

The fourth proportional to 274,016.80, 410,830.80 and 124,328.80 is: 186,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,016.80 : 410,830.80 = 124,328.80 : x
  2. Step 2: Convert to fraction form
    274,016.80/410,830.80 = 124,328.80/x
  3. Step 3: Cross multiply
    274,016.80x = 410,830.80 × 124,328.80
  4. Step 4: Simplify right side
    274,016.80x = 51,078,100,367.04
  5. Step 5: Solve for x
    x = 51,078,100,367.04/274,016.80
  6. Step 6: Final answer
    x = 186,405.00

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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.