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Finding the Fourth Proportional to 251,933.69, 377,953.85 and 83,444.48

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Solution

The fourth proportional to 251,933.69, 377,953.85 and 83,444.48 is: 125,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,933.69 : 377,953.85 = 83,444.48 : x
  2. Step 2: Convert to fraction form
    251,933.69/377,953.85 = 83,444.48/x
  3. Step 3: Cross multiply
    251,933.69x = 377,953.85 × 83,444.48
  4. Step 4: Simplify right side
    251,933.69x = 31,538,160,170.26
  5. Step 5: Solve for x
    x = 31,538,160,170.26/251,933.69
  6. Step 6: Final answer
    x = 125,184.37

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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.