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Finding the Fourth Proportional to 181,783, 250,861.62 and 102,295

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Solution

The fourth proportional to 181,783, 250,861.62 and 102,295 is: 141,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,783 : 250,861.62 = 102,295 : x
  2. Step 2: Convert to fraction form
    181,783/250,861.62 = 102,295/x
  3. Step 3: Cross multiply
    181,783x = 250,861.62 × 102,295
  4. Step 4: Simplify right side
    181,783x = 25,661,889,417.90
  5. Step 5: Solve for x
    x = 25,661,889,417.90/181,783
  6. Step 6: Final answer
    x = 141,167.71

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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.