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Finding the Fourth Proportional to 202,984.10, 284,644.30 and 202,984.10

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Solution

The fourth proportional to 202,984.10, 284,644.30 and 202,984.10 is: 284,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.10 : 284,644.30 = 202,984.10 : x
  2. Step 2: Convert to fraction form
    202,984.10/284,644.30 = 202,984.10/x
  3. Step 3: Cross multiply
    202,984.10x = 284,644.30 × 202,984.10
  4. Step 4: Simplify right side
    202,984.10x = 57,778,267,055.63
  5. Step 5: Solve for x
    x = 57,778,267,055.63/202,984.10
  6. Step 6: Final answer
    x = 284,644.30

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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.