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Finding the Fourth Proportional to 231,693.40, 347,151.30 and 113,109.40

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Solution

The fourth proportional to 231,693.40, 347,151.30 and 113,109.40 is: 169,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,693.40 : 347,151.30 = 113,109.40 : x
  2. Step 2: Convert to fraction form
    231,693.40/347,151.30 = 113,109.40/x
  3. Step 3: Cross multiply
    231,693.40x = 347,151.30 × 113,109.40
  4. Step 4: Simplify right side
    231,693.40x = 39,266,075,252.22
  5. Step 5: Solve for x
    x = 39,266,075,252.22/231,693.40
  6. Step 6: Final answer
    x = 169,474.29

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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.