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Finding the Fourth Proportional to 307,422, 461,201.13 and 94,219.38

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Solution

The fourth proportional to 307,422, 461,201.13 and 94,219.38 is: 141,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,422 : 461,201.13 = 94,219.38 : x
  2. Step 2: Convert to fraction form
    307,422/461,201.13 = 94,219.38/x
  3. Step 3: Cross multiply
    307,422x = 461,201.13 × 94,219.38
  4. Step 4: Simplify right side
    307,422x = 43,454,084,523.90
  5. Step 5: Solve for x
    x = 43,454,084,523.90/307,422
  6. Step 6: Final answer
    x = 141,349.95

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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.