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Finding the Fourth Proportional to 213,855.81, 295,100.98 and 127,797.66

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Solution

The fourth proportional to 213,855.81, 295,100.98 and 127,797.66 is: 176,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,855.81 : 295,100.98 = 127,797.66 : x
  2. Step 2: Convert to fraction form
    213,855.81/295,100.98 = 127,797.66/x
  3. Step 3: Cross multiply
    213,855.81x = 295,100.98 × 127,797.66
  4. Step 4: Simplify right side
    213,855.81x = 37,713,214,867.45
  5. Step 5: Solve for x
    x = 37,713,214,867.45/213,855.81
  6. Step 6: Final answer
    x = 176,348.80

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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.