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Finding the Fourth Proportional to 151,674, 227,546.52 and 51,835

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Solution

The fourth proportional to 151,674, 227,546.52 and 51,835 is: 77,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,674 : 227,546.52 = 51,835 : x
  2. Step 2: Convert to fraction form
    151,674/227,546.52 = 51,835/x
  3. Step 3: Cross multiply
    151,674x = 227,546.52 × 51,835
  4. Step 4: Simplify right side
    151,674x = 11,794,873,864.20
  5. Step 5: Solve for x
    x = 11,794,873,864.20/151,674
  6. Step 6: Final answer
    x = 77,764.64

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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.