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Finding the Fourth Proportional to 265,405.79, 398,106.26 and 107,596.73

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Solution

The fourth proportional to 265,405.79, 398,106.26 and 107,596.73 is: 161,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,405.79 : 398,106.26 = 107,596.73 : x
  2. Step 2: Convert to fraction form
    265,405.79/398,106.26 = 107,596.73/x
  3. Step 3: Cross multiply
    265,405.79x = 398,106.26 × 107,596.73
  4. Step 4: Simplify right side
    265,405.79x = 42,834,932,629.30
  5. Step 5: Solve for x
    x = 42,834,932,629.30/265,405.79
  6. Step 6: Final answer
    x = 161,394.11

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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.