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Finding the Fourth Proportional to 189,084.30, 264,914.85 and 189,084.30

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Solution

The fourth proportional to 189,084.30, 264,914.85 and 189,084.30 is: 264,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084.30 : 264,914.85 = 189,084.30 : x
  2. Step 2: Convert to fraction form
    189,084.30/264,914.85 = 189,084.30/x
  3. Step 3: Cross multiply
    189,084.30x = 264,914.85 × 189,084.30
  4. Step 4: Simplify right side
    189,084.30x = 50,091,238,971.86
  5. Step 5: Solve for x
    x = 50,091,238,971.86/189,084.30
  6. Step 6: Final answer
    x = 264,914.85

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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.