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Finding the Fourth Proportional to 202,982.60, 280,047.70 and 118,029.80

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Solution

The fourth proportional to 202,982.60, 280,047.70 and 118,029.80 is: 162,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,982.60 : 280,047.70 = 118,029.80 : x
  2. Step 2: Convert to fraction form
    202,982.60/280,047.70 = 118,029.80/x
  3. Step 3: Cross multiply
    202,982.60x = 280,047.70 × 118,029.80
  4. Step 4: Simplify right side
    202,982.60x = 33,053,974,021.46
  5. Step 5: Solve for x
    x = 33,053,974,021.46/202,982.60
  6. Step 6: Final answer
    x = 162,841.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.