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Finding the Fourth Proportional to 213,428.10, 320,142.15 and 201,180.90

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Solution

The fourth proportional to 213,428.10, 320,142.15 and 201,180.90 is: 301,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,428.10 : 320,142.15 = 201,180.90 : x
  2. Step 2: Convert to fraction form
    213,428.10/320,142.15 = 201,180.90/x
  3. Step 3: Cross multiply
    213,428.10x = 320,142.15 × 201,180.90
  4. Step 4: Simplify right side
    213,428.10x = 64,406,485,864.94
  5. Step 5: Solve for x
    x = 64,406,485,864.94/213,428.10
  6. Step 6: Final answer
    x = 301,771.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.