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Finding the Fourth Proportional to 265,697.12, 398,618.58 and 132,416.48

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Solution

The fourth proportional to 265,697.12, 398,618.58 and 132,416.48 is: 198,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,697.12 : 398,618.58 = 132,416.48 : x
  2. Step 2: Convert to fraction form
    265,697.12/398,618.58 = 132,416.48/x
  3. Step 3: Cross multiply
    265,697.12x = 398,618.58 × 132,416.48
  4. Step 4: Simplify right side
    265,697.12x = 52,783,669,226.20
  5. Step 5: Solve for x
    x = 52,783,669,226.20/265,697.12
  6. Step 6: Final answer
    x = 198,661.05

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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.