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Finding the Fourth Proportional to 251,833.74, 377,659.89 and 83,322.96

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Solution

The fourth proportional to 251,833.74, 377,659.89 and 83,322.96 is: 124,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,833.74 : 377,659.89 = 83,322.96 : x
  2. Step 2: Convert to fraction form
    251,833.74/377,659.89 = 83,322.96/x
  3. Step 3: Cross multiply
    251,833.74x = 377,659.89 × 83,322.96
  4. Step 4: Simplify right side
    251,833.74x = 31,467,739,908.07
  5. Step 5: Solve for x
    x = 31,467,739,908.07/251,833.74
  6. Step 6: Final answer
    x = 124,954.42

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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.