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Finding the Fourth Proportional to 281,245.66, 421,924.92 and 103,753.60

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Solution

The fourth proportional to 281,245.66, 421,924.92 and 103,753.60 is: 155,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,245.66 : 421,924.92 = 103,753.60 : x
  2. Step 2: Convert to fraction form
    281,245.66/421,924.92 = 103,753.60/x
  3. Step 3: Cross multiply
    281,245.66x = 421,924.92 × 103,753.60
  4. Step 4: Simplify right side
    281,245.66x = 43,776,229,379.71
  5. Step 5: Solve for x
    x = 43,776,229,379.71/281,245.66
  6. Step 6: Final answer
    x = 155,651.22

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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.