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Finding the Fourth Proportional to 307,367.25, 461,106.29 and 138,966.83

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Solution

The fourth proportional to 307,367.25, 461,106.29 and 138,966.83 is: 208,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,367.25 : 461,106.29 = 138,966.83 : x
  2. Step 2: Convert to fraction form
    307,367.25/461,106.29 = 138,966.83/x
  3. Step 3: Cross multiply
    307,367.25x = 461,106.29 × 138,966.83
  4. Step 4: Simplify right side
    307,367.25x = 64,078,479,414.36
  5. Step 5: Solve for x
    x = 64,078,479,414.36/307,367.25
  6. Step 6: Final answer
    x = 208,475.30

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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.