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Finding the Fourth Proportional to 233,771.10, 322,563.15 and 138,242.94

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Solution

The fourth proportional to 233,771.10, 322,563.15 and 138,242.94 is: 190,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,771.10 : 322,563.15 = 138,242.94 : x
  2. Step 2: Convert to fraction form
    233,771.10/322,563.15 = 138,242.94/x
  3. Step 3: Cross multiply
    233,771.10x = 322,563.15 × 138,242.94
  4. Step 4: Simplify right side
    233,771.10x = 44,592,078,191.66
  5. Step 5: Solve for x
    x = 44,592,078,191.66/233,771.10
  6. Step 6: Final answer
    x = 190,751.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.