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Finding the Fourth Proportional to 189,532, 284,299.44 and 64,874.08

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Solution

The fourth proportional to 189,532, 284,299.44 and 64,874.08 is: 97,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,532 : 284,299.44 = 64,874.08 : x
  2. Step 2: Convert to fraction form
    189,532/284,299.44 = 64,874.08/x
  3. Step 3: Cross multiply
    189,532x = 284,299.44 × 64,874.08
  4. Step 4: Simplify right side
    189,532x = 18,443,664,614.52
  5. Step 5: Solve for x
    x = 18,443,664,614.52/189,532
  6. Step 6: Final answer
    x = 97,311.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.