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Finding the Fourth Proportional to 150,084.54, 224,928.34 and 78,861.64

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Solution

The fourth proportional to 150,084.54, 224,928.34 and 78,861.64 is: 118,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,084.54 : 224,928.34 = 78,861.64 : x
  2. Step 2: Convert to fraction form
    150,084.54/224,928.34 = 78,861.64/x
  3. Step 3: Cross multiply
    150,084.54x = 224,928.34 × 78,861.64
  4. Step 4: Simplify right side
    150,084.54x = 17,738,217,774.88
  5. Step 5: Solve for x
    x = 17,738,217,774.88/150,084.54
  6. Step 6: Final answer
    x = 118,188.17

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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.