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Finding the Fourth Proportional to 266,146.80, 399,344.88 and 116,367.84

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Solution

The fourth proportional to 266,146.80, 399,344.88 and 116,367.84 is: 174,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,146.80 : 399,344.88 = 116,367.84 : x
  2. Step 2: Convert to fraction form
    266,146.80/399,344.88 = 116,367.84/x
  3. Step 3: Cross multiply
    266,146.80x = 399,344.88 × 116,367.84
  4. Step 4: Simplify right side
    266,146.80x = 46,470,901,100.66
  5. Step 5: Solve for x
    x = 46,470,901,100.66/266,146.80
  6. Step 6: Final answer
    x = 174,606.27

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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.