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Finding the Fourth Proportional to 265,698.12, 398,620.08 and 132,417.48

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Solution

The fourth proportional to 265,698.12, 398,620.08 and 132,417.48 is: 198,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,698.12 : 398,620.08 = 132,417.48 : x
  2. Step 2: Convert to fraction form
    265,698.12/398,620.08 = 132,417.48/x
  3. Step 3: Cross multiply
    265,698.12x = 398,620.08 × 132,417.48
  4. Step 4: Simplify right side
    265,698.12x = 52,784,266,471.00
  5. Step 5: Solve for x
    x = 52,784,266,471.00/265,698.12
  6. Step 6: Final answer
    x = 198,662.55

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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.