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Finding the Fourth Proportional to 230,638.61, 345,972.50 and 97,501.34

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Solution

The fourth proportional to 230,638.61, 345,972.50 and 97,501.34 is: 146,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,638.61 : 345,972.50 = 97,501.34 : x
  2. Step 2: Convert to fraction form
    230,638.61/345,972.50 = 97,501.34/x
  3. Step 3: Cross multiply
    230,638.61x = 345,972.50 × 97,501.34
  4. Step 4: Simplify right side
    230,638.61x = 33,732,782,353.15
  5. Step 5: Solve for x
    x = 33,732,782,353.15/230,638.61
  6. Step 6: Final answer
    x = 146,258.18

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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.