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Finding the Fourth Proportional to 199,227.87, 298,929.29 and 105,740.91

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Solution

The fourth proportional to 199,227.87, 298,929.29 and 105,740.91 is: 158,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,227.87 : 298,929.29 = 105,740.91 : x
  2. Step 2: Convert to fraction form
    199,227.87/298,929.29 = 105,740.91/x
  3. Step 3: Cross multiply
    199,227.87x = 298,929.29 × 105,740.91
  4. Step 4: Simplify right side
    199,227.87x = 31,609,054,621.55
  5. Step 5: Solve for x
    x = 31,609,054,621.55/199,227.87
  6. Step 6: Final answer
    x = 158,657.80

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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.