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Finding the Fourth Proportional to 260,716.28, 359,788.44 and 141,484.28

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Solution

The fourth proportional to 260,716.28, 359,788.44 and 141,484.28 is: 195,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,716.28 : 359,788.44 = 141,484.28 : x
  2. Step 2: Convert to fraction form
    260,716.28/359,788.44 = 141,484.28/x
  3. Step 3: Cross multiply
    260,716.28x = 359,788.44 × 141,484.28
  4. Step 4: Simplify right side
    260,716.28x = 50,904,408,385.72
  5. Step 5: Solve for x
    x = 50,904,408,385.72/260,716.28
  6. Step 6: Final answer
    x = 195,248.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.