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Finding the Fourth Proportional to 132,794.86, 183,249.84 and 76,202.50

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Solution

The fourth proportional to 132,794.86, 183,249.84 and 76,202.50 is: 105,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,794.86 : 183,249.84 = 76,202.50 : x
  2. Step 2: Convert to fraction form
    132,794.86/183,249.84 = 76,202.50/x
  3. Step 3: Cross multiply
    132,794.86x = 183,249.84 × 76,202.50
  4. Step 4: Simplify right side
    132,794.86x = 13,964,095,932.60
  5. Step 5: Solve for x
    x = 13,964,095,932.60/132,794.86
  6. Step 6: Final answer
    x = 105,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.