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Finding the Fourth Proportional to 199,546.92, 299,319.66 and 51,802.92

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Solution

The fourth proportional to 199,546.92, 299,319.66 and 51,802.92 is: 77,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,546.92 : 299,319.66 = 51,802.92 : x
  2. Step 2: Convert to fraction form
    199,546.92/299,319.66 = 51,802.92/x
  3. Step 3: Cross multiply
    199,546.92x = 299,319.66 × 51,802.92
  4. Step 4: Simplify right side
    199,546.92x = 15,505,632,401.41
  5. Step 5: Solve for x
    x = 15,505,632,401.41/199,546.92
  6. Step 6: Final answer
    x = 77,704.19

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1.5x scale

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.