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Finding the Fourth Proportional to 230,602.80, 345,904.20 and 205,233.60

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Solution

The fourth proportional to 230,602.80, 345,904.20 and 205,233.60 is: 307,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,602.80 : 345,904.20 = 205,233.60 : x
  2. Step 2: Convert to fraction form
    230,602.80/345,904.20 = 205,233.60/x
  3. Step 3: Cross multiply
    230,602.80x = 345,904.20 × 205,233.60
  4. Step 4: Simplify right side
    230,602.80x = 70,991,164,221.12
  5. Step 5: Solve for x
    x = 70,991,164,221.12/230,602.80
  6. Step 6: Final answer
    x = 307,850.40

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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.