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Finding the Fourth Proportional to 265,901.85, 398,520.16 and 132,819.26

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Solution

The fourth proportional to 265,901.85, 398,520.16 and 132,819.26 is: 199,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,901.85 : 398,520.16 = 132,819.26 : x
  2. Step 2: Convert to fraction form
    265,901.85/398,520.16 = 132,819.26/x
  3. Step 3: Cross multiply
    265,901.85x = 398,520.16 × 132,819.26
  4. Step 4: Simplify right side
    265,901.85x = 52,931,152,746.28
  5. Step 5: Solve for x
    x = 52,931,152,746.28/265,901.85
  6. Step 6: Final answer
    x = 199,062.75

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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.