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Finding the Fourth Proportional to 186,489.48, 279,978.13 and 110,726.33

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Solution

The fourth proportional to 186,489.48, 279,978.13 and 110,726.33 is: 166,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,489.48 : 279,978.13 = 110,726.33 : x
  2. Step 2: Convert to fraction form
    186,489.48/279,978.13 = 110,726.33/x
  3. Step 3: Cross multiply
    186,489.48x = 279,978.13 × 110,726.33
  4. Step 4: Simplify right side
    186,489.48x = 31,000,950,815.16
  5. Step 5: Solve for x
    x = 31,000,950,815.16/186,489.48
  6. Step 6: Final answer
    x = 166,234.31

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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.