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Finding the Fourth Proportional to 113,452.34, 156,401.97 and 83,184.26

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Solution

The fourth proportional to 113,452.34, 156,401.97 and 83,184.26 is: 114,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,452.34 : 156,401.97 = 83,184.26 : x
  2. Step 2: Convert to fraction form
    113,452.34/156,401.97 = 83,184.26/x
  3. Step 3: Cross multiply
    113,452.34x = 156,401.97 × 83,184.26
  4. Step 4: Simplify right side
    113,452.34x = 13,010,182,136.99
  5. Step 5: Solve for x
    x = 13,010,182,136.99/113,452.34
  6. Step 6: Final answer
    x = 114,675.31

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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.