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Finding the Fourth Proportional to 182,523.72, 273,829.56 and 57,864.72

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Solution

The fourth proportional to 182,523.72, 273,829.56 and 57,864.72 is: 86,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,523.72 : 273,829.56 = 57,864.72 : x
  2. Step 2: Convert to fraction form
    182,523.72/273,829.56 = 57,864.72/x
  3. Step 3: Cross multiply
    182,523.72x = 273,829.56 × 57,864.72
  4. Step 4: Simplify right side
    182,523.72x = 15,845,070,817.12
  5. Step 5: Solve for x
    x = 15,845,070,817.12/182,523.72
  6. Step 6: Final answer
    x = 86,811.02

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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.