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Finding the Fourth Proportional to 132,441, 182,768.58 and 72,825

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Solution

The fourth proportional to 132,441, 182,768.58 and 72,825 is: 100,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,441 : 182,768.58 = 72,825 : x
  2. Step 2: Convert to fraction form
    132,441/182,768.58 = 72,825/x
  3. Step 3: Cross multiply
    132,441x = 182,768.58 × 72,825
  4. Step 4: Simplify right side
    132,441x = 13,310,121,838.50
  5. Step 5: Solve for x
    x = 13,310,121,838.50/132,441
  6. Step 6: Final answer
    x = 100,498.50

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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.