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Finding the Fourth Proportional to 98,067.70, 147,180.34 and 50,696.67

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Solution

The fourth proportional to 98,067.70, 147,180.34 and 50,696.67 is: 76,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,067.70 : 147,180.34 = 50,696.67 : x
  2. Step 2: Convert to fraction form
    98,067.70/147,180.34 = 50,696.67/x
  3. Step 3: Cross multiply
    98,067.70x = 147,180.34 × 50,696.67
  4. Step 4: Simplify right side
    98,067.70x = 7,461,552,914.88
  5. Step 5: Solve for x
    x = 7,461,552,914.88/98,067.70
  6. Step 6: Final answer
    x = 76,085.74

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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.