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Finding the Fourth Proportional to 182,547, 251,914.86 and 103,059

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Solution

The fourth proportional to 182,547, 251,914.86 and 103,059 is: 142,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,547 : 251,914.86 = 103,059 : x
  2. Step 2: Convert to fraction form
    182,547/251,914.86 = 103,059/x
  3. Step 3: Cross multiply
    182,547x = 251,914.86 × 103,059
  4. Step 4: Simplify right side
    182,547x = 25,962,093,556.74
  5. Step 5: Solve for x
    x = 25,962,093,556.74/182,547
  6. Step 6: Final answer
    x = 142,221.42

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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.