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Finding the Fourth Proportional to 202,218.20, 303,448.80 and 83,877.20

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Solution

The fourth proportional to 202,218.20, 303,448.80 and 83,877.20 is: 125,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,218.20 : 303,448.80 = 83,877.20 : x
  2. Step 2: Convert to fraction form
    202,218.20/303,448.80 = 83,877.20/x
  3. Step 3: Cross multiply
    202,218.20x = 303,448.80 × 83,877.20
  4. Step 4: Simplify right side
    202,218.20x = 25,452,435,687.36
  5. Step 5: Solve for x
    x = 25,452,435,687.36/202,218.20
  6. Step 6: Final answer
    x = 125,866.20

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1.5x scale

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.