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Finding the Fourth Proportional to 265,770.08, 398,812.24 and 107,986.40

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Solution

The fourth proportional to 265,770.08, 398,812.24 and 107,986.40 is: 162,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,770.08 : 398,812.24 = 107,986.40 : x
  2. Step 2: Convert to fraction form
    265,770.08/398,812.24 = 107,986.40/x
  3. Step 3: Cross multiply
    265,770.08x = 398,812.24 × 107,986.40
  4. Step 4: Simplify right side
    265,770.08x = 43,066,298,073.54
  5. Step 5: Solve for x
    x = 43,066,298,073.54/265,770.08
  6. Step 6: Final answer
    x = 162,043.44

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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.