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Finding the Fourth Proportional to 281,755.92, 422,799.74 and 104,386.58

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Solution

The fourth proportional to 281,755.92, 422,799.74 and 104,386.58 is: 156,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,755.92 : 422,799.74 = 104,386.58 : x
  2. Step 2: Convert to fraction form
    281,755.92/422,799.74 = 104,386.58/x
  3. Step 3: Cross multiply
    281,755.92x = 422,799.74 × 104,386.58
  4. Step 4: Simplify right side
    281,755.92x = 44,134,616,247.56
  5. Step 5: Solve for x
    x = 44,134,616,247.56/281,755.92
  6. Step 6: Final answer
    x = 156,641.31

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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.