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Finding the Fourth Proportional to 202,004.30, 283,330.90 and 202,004.30

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Solution

The fourth proportional to 202,004.30, 283,330.90 and 202,004.30 is: 283,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.30 : 283,330.90 = 202,004.30 : x
  2. Step 2: Convert to fraction form
    202,004.30/283,330.90 = 202,004.30/x
  3. Step 3: Cross multiply
    202,004.30x = 283,330.90 × 202,004.30
  4. Step 4: Simplify right side
    202,004.30x = 57,234,060,122.87
  5. Step 5: Solve for x
    x = 57,234,060,122.87/202,004.30
  6. Step 6: Final answer
    x = 283,330.90

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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.