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Finding the Fourth Proportional to 199,694.50, 299,742.22 and 93,151.14

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Solution

The fourth proportional to 199,694.50, 299,742.22 and 93,151.14 is: 139,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,694.50 : 299,742.22 = 93,151.14 : x
  2. Step 2: Convert to fraction form
    199,694.50/299,742.22 = 93,151.14/x
  3. Step 3: Cross multiply
    199,694.50x = 299,742.22 × 93,151.14
  4. Step 4: Simplify right side
    199,694.50x = 27,921,329,499.13
  5. Step 5: Solve for x
    x = 27,921,329,499.13/199,694.50
  6. Step 6: Final answer
    x = 139,820.22

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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.