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Finding the Fourth Proportional to 307,805.20, 461,649.48 and 108,078.64

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Solution

The fourth proportional to 307,805.20, 461,649.48 and 108,078.64 is: 162,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,805.20 : 461,649.48 = 108,078.64 : x
  2. Step 2: Convert to fraction form
    307,805.20/461,649.48 = 108,078.64/x
  3. Step 3: Cross multiply
    307,805.20x = 461,649.48 × 108,078.64
  4. Step 4: Simplify right side
    307,805.20x = 49,894,447,955.11
  5. Step 5: Solve for x
    x = 49,894,447,955.11/307,805.20
  6. Step 6: Final answer
    x = 162,097.48

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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.