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Finding the Fourth Proportional to 122,098.74, 182,819.97 and 77,483.94

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Solution

The fourth proportional to 122,098.74, 182,819.97 and 77,483.94 is: 116,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,098.74 : 182,819.97 = 77,483.94 : x
  2. Step 2: Convert to fraction form
    122,098.74/182,819.97 = 77,483.94/x
  3. Step 3: Cross multiply
    122,098.74x = 182,819.97 × 77,483.94
  4. Step 4: Simplify right side
    122,098.74x = 14,165,611,586.28
  5. Step 5: Solve for x
    x = 14,165,611,586.28/122,098.74
  6. Step 6: Final answer
    x = 116,017.67

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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.