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Finding the Fourth Proportional to 202,000.80, 283,326 and 202,000.80

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Solution

The fourth proportional to 202,000.80, 283,326 and 202,000.80 is: 283,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.80 : 283,326 = 202,000.80 : x
  2. Step 2: Convert to fraction form
    202,000.80/283,326 = 202,000.80/x
  3. Step 3: Cross multiply
    202,000.80x = 283,326 × 202,000.80
  4. Step 4: Simplify right side
    202,000.80x = 57,232,078,660.80
  5. Step 5: Solve for x
    x = 57,232,078,660.80/202,000.80
  6. Step 6: Final answer
    x = 283,326

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.