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Finding the Fourth Proportional to 114,458.40, 171,738.80 and 52,096.80

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Solution

The fourth proportional to 114,458.40, 171,738.80 and 52,096.80 is: 78,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,458.40 : 171,738.80 = 52,096.80 : x
  2. Step 2: Convert to fraction form
    114,458.40/171,738.80 = 52,096.80/x
  3. Step 3: Cross multiply
    114,458.40x = 171,738.80 × 52,096.80
  4. Step 4: Simplify right side
    114,458.40x = 8,947,041,915.84
  5. Step 5: Solve for x
    x = 8,947,041,915.84/114,458.40
  6. Step 6: Final answer
    x = 78,168.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.