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Finding the Fourth Proportional to 265,678.26, 398,604.88 and 107,864.34

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Solution

The fourth proportional to 265,678.26, 398,604.88 and 107,864.34 is: 161,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,678.26 : 398,604.88 = 107,864.34 : x
  2. Step 2: Convert to fraction form
    265,678.26/398,604.88 = 107,864.34/x
  3. Step 3: Cross multiply
    265,678.26x = 398,604.88 × 107,864.34
  4. Step 4: Simplify right side
    265,678.26x = 42,995,252,301.98
  5. Step 5: Solve for x
    x = 42,995,252,301.98/265,678.26
  6. Step 6: Final answer
    x = 161,832.03

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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.