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Finding the Fourth Proportional to 182,136, 251,347.68 and 102,648

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Solution

The fourth proportional to 182,136, 251,347.68 and 102,648 is: 141,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,136 : 251,347.68 = 102,648 : x
  2. Step 2: Convert to fraction form
    182,136/251,347.68 = 102,648/x
  3. Step 3: Cross multiply
    182,136x = 251,347.68 × 102,648
  4. Step 4: Simplify right side
    182,136x = 25,800,336,656.64
  5. Step 5: Solve for x
    x = 25,800,336,656.64/182,136
  6. Step 6: Final answer
    x = 141,654.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.