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Finding the Fourth Proportional to 202,986.10, 284,647.10 and 202,986.10

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Solution

The fourth proportional to 202,986.10, 284,647.10 and 202,986.10 is: 284,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986.10 : 284,647.10 = 202,986.10 : x
  2. Step 2: Convert to fraction form
    202,986.10/284,647.10 = 202,986.10/x
  3. Step 3: Cross multiply
    202,986.10x = 284,647.10 × 202,986.10
  4. Step 4: Simplify right side
    202,986.10x = 57,779,404,705.31
  5. Step 5: Solve for x
    x = 57,779,404,705.31/202,986.10
  6. Step 6: Final answer
    x = 284,647.10

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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.