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Finding the Fourth Proportional to 97,806.20, 146,579.70 and 86,660.60

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Solution

The fourth proportional to 97,806.20, 146,579.70 and 86,660.60 is: 129,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.20 : 146,579.70 = 86,660.60 : x
  2. Step 2: Convert to fraction form
    97,806.20/146,579.70 = 86,660.60/x
  3. Step 3: Cross multiply
    97,806.20x = 146,579.70 × 86,660.60
  4. Step 4: Simplify right side
    97,806.20x = 12,702,684,749.82
  5. Step 5: Solve for x
    x = 12,702,684,749.82/97,806.20
  6. Step 6: Final answer
    x = 129,876.07

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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.