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Finding the Fourth Proportional to 227,894.40, 341,841.60 and 78,114.60

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Solution

The fourth proportional to 227,894.40, 341,841.60 and 78,114.60 is: 117,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,894.40 : 341,841.60 = 78,114.60 : x
  2. Step 2: Convert to fraction form
    227,894.40/341,841.60 = 78,114.60/x
  3. Step 3: Cross multiply
    227,894.40x = 341,841.60 × 78,114.60
  4. Step 4: Simplify right side
    227,894.40x = 26,702,819,847.36
  5. Step 5: Solve for x
    x = 26,702,819,847.36/227,894.40
  6. Step 6: Final answer
    x = 117,171.90

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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.