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Finding the Fourth Proportional to 182,406.64, 273,652.10 and 57,747.64

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Solution

The fourth proportional to 182,406.64, 273,652.10 and 57,747.64 is: 86,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,406.64 : 273,652.10 = 57,747.64 : x
  2. Step 2: Convert to fraction form
    182,406.64/273,652.10 = 57,747.64/x
  3. Step 3: Cross multiply
    182,406.64x = 273,652.10 × 57,747.64
  4. Step 4: Simplify right side
    182,406.64x = 15,802,762,956.04
  5. Step 5: Solve for x
    x = 15,802,762,956.04/182,406.64
  6. Step 6: Final answer
    x = 86,634.80

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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.