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Finding the Fourth Proportional to 189,381.44, 284,054.88 and 174,532.16

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Solution

The fourth proportional to 189,381.44, 284,054.88 and 174,532.16 is: 261,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,381.44 : 284,054.88 = 174,532.16 : x
  2. Step 2: Convert to fraction form
    189,381.44/284,054.88 = 174,532.16/x
  3. Step 3: Cross multiply
    189,381.44x = 284,054.88 × 174,532.16
  4. Step 4: Simplify right side
    189,381.44x = 49,576,711,764.94
  5. Step 5: Solve for x
    x = 49,576,711,764.94/189,381.44
  6. Step 6: Final answer
    x = 261,782.31

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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.