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Finding the Fourth Proportional to 281,934.97, 422,980.48 and 130,178.48

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Solution

The fourth proportional to 281,934.97, 422,980.48 and 130,178.48 is: 195,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,934.97 : 422,980.48 = 130,178.48 : x
  2. Step 2: Convert to fraction form
    281,934.97/422,980.48 = 130,178.48/x
  3. Step 3: Cross multiply
    281,934.97x = 422,980.48 × 130,178.48
  4. Step 4: Simplify right side
    281,934.97x = 55,062,954,003.89
  5. Step 5: Solve for x
    x = 55,062,954,003.89/281,934.97
  6. Step 6: Final answer
    x = 195,303.74

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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.