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Finding the Fourth Proportional to 230,861.40, 346,292.10 and 205,200.60

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Solution

The fourth proportional to 230,861.40, 346,292.10 and 205,200.60 is: 307,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,861.40 : 346,292.10 = 205,200.60 : x
  2. Step 2: Convert to fraction form
    230,861.40/346,292.10 = 205,200.60/x
  3. Step 3: Cross multiply
    230,861.40x = 346,292.10 × 205,200.60
  4. Step 4: Simplify right side
    230,861.40x = 71,059,346,695.26
  5. Step 5: Solve for x
    x = 71,059,346,695.26/230,861.40
  6. Step 6: Final answer
    x = 307,800.90

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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.