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Finding the Fourth Proportional to 265,541.30, 398,495.91 and 105,600.85

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Solution

The fourth proportional to 265,541.30, 398,495.91 and 105,600.85 is: 158,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,541.30 : 398,495.91 = 105,600.85 : x
  2. Step 2: Convert to fraction form
    265,541.30/398,495.91 = 105,600.85/x
  3. Step 3: Cross multiply
    265,541.30x = 398,495.91 × 105,600.85
  4. Step 4: Simplify right side
    265,541.30x = 42,081,505,821.28
  5. Step 5: Solve for x
    x = 42,081,505,821.28/265,541.30
  6. Step 6: Final answer
    x = 158,474.43

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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.