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Finding the Fourth Proportional to 189,063.14, 260,895.40 and 108,497.30

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Solution

The fourth proportional to 189,063.14, 260,895.40 and 108,497.30 is: 149,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,063.14 : 260,895.40 = 108,497.30 : x
  2. Step 2: Convert to fraction form
    189,063.14/260,895.40 = 108,497.30/x
  3. Step 3: Cross multiply
    189,063.14x = 260,895.40 × 108,497.30
  4. Step 4: Simplify right side
    189,063.14x = 28,306,444,906.70
  5. Step 5: Solve for x
    x = 28,306,444,906.70/189,063.14
  6. Step 6: Final answer
    x = 149,719.54

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Why These Related Problems?

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