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Finding the Fourth Proportional to 235,947.60, 353,905.20 and 76,021.20

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Solution

The fourth proportional to 235,947.60, 353,905.20 and 76,021.20 is: 114,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,947.60 : 353,905.20 = 76,021.20 : x
  2. Step 2: Convert to fraction form
    235,947.60/353,905.20 = 76,021.20/x
  3. Step 3: Cross multiply
    235,947.60x = 353,905.20 × 76,021.20
  4. Step 4: Simplify right side
    235,947.60x = 26,904,297,990.24
  5. Step 5: Solve for x
    x = 26,904,297,990.24/235,947.60
  6. Step 6: Final answer
    x = 114,026.58

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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.