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Finding the Fourth Proportional to 189,396.12, 261,364.14 and 104,511

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Solution

The fourth proportional to 189,396.12, 261,364.14 and 104,511 is: 144,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,396.12 : 261,364.14 = 104,511 : x
  2. Step 2: Convert to fraction form
    189,396.12/261,364.14 = 104,511/x
  3. Step 3: Cross multiply
    189,396.12x = 261,364.14 × 104,511
  4. Step 4: Simplify right side
    189,396.12x = 27,315,427,635.54
  5. Step 5: Solve for x
    x = 27,315,427,635.54/189,396.12
  6. Step 6: Final answer
    x = 144,223.80

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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.