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Finding the Fourth Proportional to 265,695.20, 398,265.96 and 115,895.24

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Solution

The fourth proportional to 265,695.20, 398,265.96 and 115,895.24 is: 173,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,695.20 : 398,265.96 = 115,895.24 : x
  2. Step 2: Convert to fraction form
    265,695.20/398,265.96 = 115,895.24/x
  3. Step 3: Cross multiply
    265,695.20x = 398,265.96 × 115,895.24
  4. Step 4: Simplify right side
    265,695.20x = 46,157,129,018.03
  5. Step 5: Solve for x
    x = 46,157,129,018.03/265,695.20
  6. Step 6: Final answer
    x = 173,722.10

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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.