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Finding the Fourth Proportional to 189,096.80, 264,932.35 and 189,096.80

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Solution

The fourth proportional to 189,096.80, 264,932.35 and 189,096.80 is: 264,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.80 : 264,932.35 = 189,096.80 : x
  2. Step 2: Convert to fraction form
    189,096.80/264,932.35 = 189,096.80/x
  3. Step 3: Cross multiply
    189,096.80x = 264,932.35 × 189,096.80
  4. Step 4: Simplify right side
    189,096.80x = 50,097,859,601.48
  5. Step 5: Solve for x
    x = 50,097,859,601.48/189,096.80
  6. Step 6: Final answer
    x = 264,932.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.