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Finding the Fourth Proportional to 164,096.45, 245,652.60 and 97,502.30

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Solution

The fourth proportional to 164,096.45, 245,652.60 and 97,502.30 is: 145,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096.45 : 245,652.60 = 97,502.30 : x
  2. Step 2: Convert to fraction form
    164,096.45/245,652.60 = 97,502.30/x
  3. Step 3: Cross multiply
    164,096.45x = 245,652.60 × 97,502.30
  4. Step 4: Simplify right side
    164,096.45x = 23,951,693,500.98
  5. Step 5: Solve for x
    x = 23,951,693,500.98/164,096.45
  6. Step 6: Final answer
    x = 145,961.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.