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Finding the Fourth Proportional to 199,092, 274,746.96 and 109,668

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Solution

The fourth proportional to 199,092, 274,746.96 and 109,668 is: 151,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092 : 274,746.96 = 109,668 : x
  2. Step 2: Convert to fraction form
    199,092/274,746.96 = 109,668/x
  3. Step 3: Cross multiply
    199,092x = 274,746.96 × 109,668
  4. Step 4: Simplify right side
    199,092x = 30,130,949,609.28
  5. Step 5: Solve for x
    x = 30,130,949,609.28/199,092
  6. Step 6: Final answer
    x = 151,341.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.