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Finding the Fourth Proportional to 313,815, 470,802.42 and 92,199

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Solution

The fourth proportional to 313,815, 470,802.42 and 92,199 is: 138,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,815 : 470,802.42 = 92,199 : x
  2. Step 2: Convert to fraction form
    313,815/470,802.42 = 92,199/x
  3. Step 3: Cross multiply
    313,815x = 470,802.42 × 92,199
  4. Step 4: Simplify right side
    313,815x = 43,407,512,321.58
  5. Step 5: Solve for x
    x = 43,407,512,321.58/313,815
  6. Step 6: Final answer
    x = 138,321.98

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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.