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Finding the Fourth Proportional to 281,924.60, 422,906.10 and 89,783.80

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Solution

The fourth proportional to 281,924.60, 422,906.10 and 89,783.80 is: 134,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,924.60 : 422,906.10 = 89,783.80 : x
  2. Step 2: Convert to fraction form
    281,924.60/422,906.10 = 89,783.80/x
  3. Step 3: Cross multiply
    281,924.60x = 422,906.10 × 89,783.80
  4. Step 4: Simplify right side
    281,924.60x = 37,970,116,701.18
  5. Step 5: Solve for x
    x = 37,970,116,701.18/281,924.60
  6. Step 6: Final answer
    x = 134,681.81

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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.