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Finding the Fourth Proportional to 189,069, 260,916.06 and 104,184.24

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Solution

The fourth proportional to 189,069, 260,916.06 and 104,184.24 is: 143,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,069 : 260,916.06 = 104,184.24 : x
  2. Step 2: Convert to fraction form
    189,069/260,916.06 = 104,184.24/x
  3. Step 3: Cross multiply
    189,069x = 260,916.06 × 104,184.24
  4. Step 4: Simplify right side
    189,069x = 27,183,341,414.89
  5. Step 5: Solve for x
    x = 27,183,341,414.89/189,069
  6. Step 6: Final answer
    x = 143,774.71

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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.