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Finding the Fourth Proportional to 162,861.70, 244,284.45 and 83,983.90

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Solution

The fourth proportional to 162,861.70, 244,284.45 and 83,983.90 is: 125,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,861.70 : 244,284.45 = 83,983.90 : x
  2. Step 2: Convert to fraction form
    162,861.70/244,284.45 = 83,983.90/x
  3. Step 3: Cross multiply
    162,861.70x = 244,284.45 × 83,983.90
  4. Step 4: Simplify right side
    162,861.70x = 20,515,960,820.36
  5. Step 5: Solve for x
    x = 20,515,960,820.36/162,861.70
  6. Step 6: Final answer
    x = 125,971.67

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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.