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Finding the Fourth Proportional to 181,782, 250,860.24 and 102,294

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Solution

The fourth proportional to 181,782, 250,860.24 and 102,294 is: 141,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,782 : 250,860.24 = 102,294 : x
  2. Step 2: Convert to fraction form
    181,782/250,860.24 = 102,294/x
  3. Step 3: Cross multiply
    181,782x = 250,860.24 × 102,294
  4. Step 4: Simplify right side
    181,782x = 25,661,497,390.56
  5. Step 5: Solve for x
    x = 25,661,497,390.56/181,782
  6. Step 6: Final answer
    x = 141,166.33

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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.