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Finding the Fourth Proportional to 189,063.92, 260,749.28 and 113,597.84

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Solution

The fourth proportional to 189,063.92, 260,749.28 and 113,597.84 is: 156,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,063.92 : 260,749.28 = 113,597.84 : x
  2. Step 2: Convert to fraction form
    189,063.92/260,749.28 = 113,597.84/x
  3. Step 3: Cross multiply
    189,063.92x = 260,749.28 × 113,597.84
  4. Step 4: Simplify right side
    189,063.92x = 29,620,554,989.56
  5. Step 5: Solve for x
    x = 29,620,554,989.56/189,063.92
  6. Step 6: Final answer
    x = 156,669.53

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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.