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Finding the Fourth Proportional to 98,896.40, 148,690.20 and 96,822.80

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Solution

The fourth proportional to 98,896.40, 148,690.20 and 96,822.80 is: 145,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,896.40 : 148,690.20 = 96,822.80 : x
  2. Step 2: Convert to fraction form
    98,896.40/148,690.20 = 96,822.80/x
  3. Step 3: Cross multiply
    98,896.40x = 148,690.20 × 96,822.80
  4. Step 4: Simplify right side
    98,896.40x = 14,396,601,496.56
  5. Step 5: Solve for x
    x = 14,396,601,496.56/98,896.40
  6. Step 6: Final answer
    x = 145,572.55

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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.