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Finding the Fourth Proportional to 132,625, 183,022.50 and 73,009

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Solution

The fourth proportional to 132,625, 183,022.50 and 73,009 is: 100,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,625 : 183,022.50 = 73,009 : x
  2. Step 2: Convert to fraction form
    132,625/183,022.50 = 73,009/x
  3. Step 3: Cross multiply
    132,625x = 183,022.50 × 73,009
  4. Step 4: Simplify right side
    132,625x = 13,362,289,702.50
  5. Step 5: Solve for x
    x = 13,362,289,702.50/132,625
  6. Step 6: Final answer
    x = 100,752.42

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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.