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Finding the Fourth Proportional to 265,843.94, 398,421.46 and 107,986.28

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Solution

The fourth proportional to 265,843.94, 398,421.46 and 107,986.28 is: 161,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,843.94 : 398,421.46 = 107,986.28 : x
  2. Step 2: Convert to fraction form
    265,843.94/398,421.46 = 107,986.28/x
  3. Step 3: Cross multiply
    265,843.94x = 398,421.46 × 107,986.28
  4. Step 4: Simplify right side
    265,843.94x = 43,024,051,337.57
  5. Step 5: Solve for x
    x = 43,024,051,337.57/265,843.94
  6. Step 6: Final answer
    x = 161,839.50

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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.