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Finding the Fourth Proportional to 313,499.97, 470,101.82 and 121,464.36

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Solution

The fourth proportional to 313,499.97, 470,101.82 and 121,464.36 is: 182,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,499.97 : 470,101.82 = 121,464.36 : x
  2. Step 2: Convert to fraction form
    313,499.97/470,101.82 = 121,464.36/x
  3. Step 3: Cross multiply
    313,499.97x = 470,101.82 × 121,464.36
  4. Step 4: Simplify right side
    313,499.97x = 57,100,616,435.43
  5. Step 5: Solve for x
    x = 57,100,616,435.43/313,499.97
  6. Step 6: Final answer
    x = 182,139.14

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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.