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Finding the Fourth Proportional to 259,908.15, 389,861.94 and 97,832.46

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Solution

The fourth proportional to 259,908.15, 389,861.94 and 97,832.46 is: 146,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,908.15 : 389,861.94 = 97,832.46 : x
  2. Step 2: Convert to fraction form
    259,908.15/389,861.94 = 97,832.46/x
  3. Step 3: Cross multiply
    259,908.15x = 389,861.94 × 97,832.46
  4. Step 4: Simplify right side
    259,908.15x = 38,141,152,650.57
  5. Step 5: Solve for x
    x = 38,141,152,650.57/259,908.15
  6. Step 6: Final answer
    x = 146,748.58

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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.