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Finding the Fourth Proportional to 281,116.40, 421,674.60 and 81,443.30

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Solution

The fourth proportional to 281,116.40, 421,674.60 and 81,443.30 is: 122,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,116.40 : 421,674.60 = 81,443.30 : x
  2. Step 2: Convert to fraction form
    281,116.40/421,674.60 = 81,443.30/x
  3. Step 3: Cross multiply
    281,116.40x = 421,674.60 × 81,443.30
  4. Step 4: Simplify right side
    281,116.40x = 34,342,570,950.18
  5. Step 5: Solve for x
    x = 34,342,570,950.18/281,116.40
  6. Step 6: Final answer
    x = 122,164.95

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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.