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Finding the Fourth Proportional to 281,381.80, 422,094.56 and 81,705.48

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Solution

The fourth proportional to 281,381.80, 422,094.56 and 81,705.48 is: 122,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,381.80 : 422,094.56 = 81,705.48 : x
  2. Step 2: Convert to fraction form
    281,381.80/422,094.56 = 81,705.48/x
  3. Step 3: Cross multiply
    281,381.80x = 422,094.56 × 81,705.48
  4. Step 4: Simplify right side
    281,381.80x = 34,487,438,630.19
  5. Step 5: Solve for x
    x = 34,487,438,630.19/281,381.80
  6. Step 6: Final answer
    x = 122,564.57

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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.