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Finding the Fourth Proportional to 265,695.45, 398,266.34 and 115,895.49

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Solution

The fourth proportional to 265,695.45, 398,266.34 and 115,895.49 is: 173,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,695.45 : 398,266.34 = 115,895.49 : x
  2. Step 2: Convert to fraction form
    265,695.45/398,266.34 = 115,895.49/x
  3. Step 3: Cross multiply
    265,695.45x = 398,266.34 × 115,895.49
  4. Step 4: Simplify right side
    265,695.45x = 46,157,272,045.33
  5. Step 5: Solve for x
    x = 46,157,272,045.33/265,695.45
  6. Step 6: Final answer
    x = 173,722.48

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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.