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Finding the Fourth Proportional to 265,336.92, 398,004.48 and 107,565

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Solution

The fourth proportional to 265,336.92, 398,004.48 and 107,565 is: 161,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,336.92 : 398,004.48 = 107,565 : x
  2. Step 2: Convert to fraction form
    265,336.92/398,004.48 = 107,565/x
  3. Step 3: Cross multiply
    265,336.92x = 398,004.48 × 107,565
  4. Step 4: Simplify right side
    265,336.92x = 42,811,351,891.20
  5. Step 5: Solve for x
    x = 42,811,351,891.20/265,336.92
  6. Step 6: Final answer
    x = 161,347.14

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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.