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Finding the Fourth Proportional to 281,684.32, 422,505.76 and 104,108.48

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Solution

The fourth proportional to 281,684.32, 422,505.76 and 104,108.48 is: 156,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,684.32 : 422,505.76 = 104,108.48 : x
  2. Step 2: Convert to fraction form
    281,684.32/422,505.76 = 104,108.48/x
  3. Step 3: Cross multiply
    281,684.32x = 422,505.76 × 104,108.48
  4. Step 4: Simplify right side
    281,684.32x = 43,986,432,464.84
  5. Step 5: Solve for x
    x = 43,986,432,464.84/281,684.32
  6. Step 6: Final answer
    x = 156,155.06

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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.