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Finding the Fourth Proportional to 202,986.80, 284,803.60 and 202,986.80

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Solution

The fourth proportional to 202,986.80, 284,803.60 and 202,986.80 is: 284,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986.80 : 284,803.60 = 202,986.80 : x
  2. Step 2: Convert to fraction form
    202,986.80/284,803.60 = 202,986.80/x
  3. Step 3: Cross multiply
    202,986.80x = 284,803.60 × 202,986.80
  4. Step 4: Simplify right side
    202,986.80x = 57,811,371,392.48
  5. Step 5: Solve for x
    x = 57,811,371,392.48/202,986.80
  6. Step 6: Final answer
    x = 284,803.60

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