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Finding the Fourth Proportional to 202,271.60, 303,480.30 and 84,027.80

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Solution

The fourth proportional to 202,271.60, 303,480.30 and 84,027.80 is: 126,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,271.60 : 303,480.30 = 84,027.80 : x
  2. Step 2: Convert to fraction form
    202,271.60/303,480.30 = 84,027.80/x
  3. Step 3: Cross multiply
    202,271.60x = 303,480.30 × 84,027.80
  4. Step 4: Simplify right side
    202,271.60x = 25,500,781,952.34
  5. Step 5: Solve for x
    x = 25,500,781,952.34/202,271.60
  6. Step 6: Final answer
    x = 126,071.98

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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.