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Finding the Fourth Proportional to 182,817.68, 274,001.91 and 102,687.20

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Solution

The fourth proportional to 182,817.68, 274,001.91 and 102,687.20 is: 153,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,817.68 : 274,001.91 = 102,687.20 : x
  2. Step 2: Convert to fraction form
    182,817.68/274,001.91 = 102,687.20/x
  3. Step 3: Cross multiply
    182,817.68x = 274,001.91 × 102,687.20
  4. Step 4: Simplify right side
    182,817.68x = 28,136,488,932.55
  5. Step 5: Solve for x
    x = 28,136,488,932.55/182,817.68
  6. Step 6: Final answer
    x = 153,904.64

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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.