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Finding the Fourth Proportional to 281,858.76, 422,587.26 and 132,016.86

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Solution

The fourth proportional to 281,858.76, 422,587.26 and 132,016.86 is: 197,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,858.76 : 422,587.26 = 132,016.86 : x
  2. Step 2: Convert to fraction form
    281,858.76/422,587.26 = 132,016.86/x
  3. Step 3: Cross multiply
    281,858.76x = 422,587.26 × 132,016.86
  4. Step 4: Simplify right side
    281,858.76x = 55,788,643,141.20
  5. Step 5: Solve for x
    x = 55,788,643,141.20/281,858.76
  6. Step 6: Final answer
    x = 197,931.20

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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.