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Finding the Fourth Proportional to 132,802.65, 199,203.57 and 41,625

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Solution

The fourth proportional to 132,802.65, 199,203.57 and 41,625 is: 62,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,802.65 : 199,203.57 = 41,625 : x
  2. Step 2: Convert to fraction form
    132,802.65/199,203.57 = 41,625/x
  3. Step 3: Cross multiply
    132,802.65x = 199,203.57 × 41,625
  4. Step 4: Simplify right side
    132,802.65x = 8,291,848,601.25
  5. Step 5: Solve for x
    x = 8,291,848,601.25/132,802.65
  6. Step 6: Final answer
    x = 62,437.37

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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.