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Finding the Fourth Proportional to 230,333.50, 345,548.04 and 97,214.86

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Solution

The fourth proportional to 230,333.50, 345,548.04 and 97,214.86 is: 145,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,333.50 : 345,548.04 = 97,214.86 : x
  2. Step 2: Convert to fraction form
    230,333.50/345,548.04 = 97,214.86/x
  3. Step 3: Cross multiply
    230,333.50x = 345,548.04 × 97,214.86
  4. Step 4: Simplify right side
    230,333.50x = 33,592,404,331.87
  5. Step 5: Solve for x
    x = 33,592,404,331.87/230,333.50
  6. Step 6: Final answer
    x = 145,842.46

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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.