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Finding the Fourth Proportional to 235,874.20, 353,674.86 and 78,060.28

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Solution

The fourth proportional to 235,874.20, 353,674.86 and 78,060.28 is: 117,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,874.20 : 353,674.86 = 78,060.28 : x
  2. Step 2: Convert to fraction form
    235,874.20/353,674.86 = 78,060.28/x
  3. Step 3: Cross multiply
    235,874.20x = 353,674.86 × 78,060.28
  4. Step 4: Simplify right side
    235,874.20x = 27,607,958,600.56
  5. Step 5: Solve for x
    x = 27,607,958,600.56/235,874.20
  6. Step 6: Final answer
    x = 117,045.27

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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.