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Finding the Fourth Proportional to 229,853.98, 345,100.82 and 117,611.67

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Solution

The fourth proportional to 229,853.98, 345,100.82 and 117,611.67 is: 176,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853.98 : 345,100.82 = 117,611.67 : x
  2. Step 2: Convert to fraction form
    229,853.98/345,100.82 = 117,611.67/x
  3. Step 3: Cross multiply
    229,853.98x = 345,100.82 × 117,611.67
  4. Step 4: Simplify right side
    229,853.98x = 40,587,883,170.51
  5. Step 5: Solve for x
    x = 40,587,883,170.51/229,853.98
  6. Step 6: Final answer
    x = 176,581.17

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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.