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Finding the Fourth Proportional to 238,524.76, 357,822.57 and 78,571.15

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Solution

The fourth proportional to 238,524.76, 357,822.57 and 78,571.15 is: 117,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,524.76 : 357,822.57 = 78,571.15 : x
  2. Step 2: Convert to fraction form
    238,524.76/357,822.57 = 78,571.15/x
  3. Step 3: Cross multiply
    238,524.76x = 357,822.57 × 78,571.15
  4. Step 4: Simplify right side
    238,524.76x = 28,114,530,302.57
  5. Step 5: Solve for x
    x = 28,114,530,302.57/238,524.76
  6. Step 6: Final answer
    x = 117,868.39

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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.