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Finding the Fourth Proportional to 140,696, 211,095.84 and 74,133.44

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Solution

The fourth proportional to 140,696, 211,095.84 and 74,133.44 is: 111,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,696 : 211,095.84 = 74,133.44 : x
  2. Step 2: Convert to fraction form
    140,696/211,095.84 = 74,133.44/x
  3. Step 3: Cross multiply
    140,696x = 211,095.84 × 74,133.44
  4. Step 4: Simplify right side
    140,696x = 15,649,260,788.89
  5. Step 5: Solve for x
    x = 15,649,260,788.89/140,696
  6. Step 6: Final answer
    x = 111,227.47

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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.