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Finding the Fourth Proportional to 230,503, 345,890.60 and 97,374.64

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Solution

The fourth proportional to 230,503, 345,890.60 and 97,374.64 is: 146,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,503 : 345,890.60 = 97,374.64 : x
  2. Step 2: Convert to fraction form
    230,503/345,890.60 = 97,374.64/x
  3. Step 3: Cross multiply
    230,503x = 345,890.60 × 97,374.64
  4. Step 4: Simplify right side
    230,503x = 33,680,972,654.38
  5. Step 5: Solve for x
    x = 33,680,972,654.38/230,503
  6. Step 6: Final answer
    x = 146,119.45

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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.