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Finding the Fourth Proportional to 173,722.60, 261,140.70 and 161,396.20

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Solution

The fourth proportional to 173,722.60, 261,140.70 and 161,396.20 is: 242,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,722.60 : 261,140.70 = 161,396.20 : x
  2. Step 2: Convert to fraction form
    173,722.60/261,140.70 = 161,396.20/x
  3. Step 3: Cross multiply
    173,722.60x = 261,140.70 × 161,396.20
  4. Step 4: Simplify right side
    173,722.60x = 42,147,116,645.34
  5. Step 5: Solve for x
    x = 42,147,116,645.34/173,722.60
  6. Step 6: Final answer
    x = 242,611.59

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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.