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Finding the Fourth Proportional to 177,924.74, 266,736.38 and 78,009.21

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Solution

The fourth proportional to 177,924.74, 266,736.38 and 78,009.21 is: 116,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,924.74 : 266,736.38 = 78,009.21 : x
  2. Step 2: Convert to fraction form
    177,924.74/266,736.38 = 78,009.21/x
  3. Step 3: Cross multiply
    177,924.74x = 266,736.38 × 78,009.21
  4. Step 4: Simplify right side
    177,924.74x = 20,807,893,892.01
  5. Step 5: Solve for x
    x = 20,807,893,892.01/177,924.74
  6. Step 6: Final answer
    x = 116,947.73

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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.