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Finding the Fourth Proportional to 265,821.60, 398,194.80 and 165,674.40

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Solution

The fourth proportional to 265,821.60, 398,194.80 and 165,674.40 is: 248,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,821.60 : 398,194.80 = 165,674.40 : x
  2. Step 2: Convert to fraction form
    265,821.60/398,194.80 = 165,674.40/x
  3. Step 3: Cross multiply
    265,821.60x = 398,194.80 × 165,674.40
  4. Step 4: Simplify right side
    265,821.60x = 65,970,684,573.12
  5. Step 5: Solve for x
    x = 65,970,684,573.12/265,821.60
  6. Step 6: Final answer
    x = 248,176.54

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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.