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Finding the Fourth Proportional to 151,645.44, 227,494.93 and 51,782.24

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Solution

The fourth proportional to 151,645.44, 227,494.93 and 51,782.24 is: 77,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,645.44 : 227,494.93 = 51,782.24 : x
  2. Step 2: Convert to fraction form
    151,645.44/227,494.93 = 51,782.24/x
  3. Step 3: Cross multiply
    151,645.44x = 227,494.93 × 51,782.24
  4. Step 4: Simplify right side
    151,645.44x = 11,780,196,320.76
  5. Step 5: Solve for x
    x = 11,780,196,320.76/151,645.44
  6. Step 6: Final answer
    x = 77,682.50

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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.