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Finding the Fourth Proportional to 189,097.80, 264,933.75 and 189,097.80

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Solution

The fourth proportional to 189,097.80, 264,933.75 and 189,097.80 is: 264,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,097.80 : 264,933.75 = 189,097.80 : x
  2. Step 2: Convert to fraction form
    189,097.80/264,933.75 = 189,097.80/x
  3. Step 3: Cross multiply
    189,097.80x = 264,933.75 × 189,097.80
  4. Step 4: Simplify right side
    189,097.80x = 50,098,389,270.75
  5. Step 5: Solve for x
    x = 50,098,389,270.75/189,097.80
  6. Step 6: Final answer
    x = 264,933.75

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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.