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Finding the Fourth Proportional to 229,771.56, 344,590.38 and 89,496.84

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Solution

The fourth proportional to 229,771.56, 344,590.38 and 89,496.84 is: 134,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,771.56 : 344,590.38 = 89,496.84 : x
  2. Step 2: Convert to fraction form
    229,771.56/344,590.38 = 89,496.84/x
  3. Step 3: Cross multiply
    229,771.56x = 344,590.38 × 89,496.84
  4. Step 4: Simplify right side
    229,771.56x = 30,839,750,104.40
  5. Step 5: Solve for x
    x = 30,839,750,104.40/229,771.56
  6. Step 6: Final answer
    x = 134,219.18

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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.