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Finding the Fourth Proportional to 252,185.94, 378,023.73 and 163,495.80

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Solution

The fourth proportional to 252,185.94, 378,023.73 and 163,495.80 is: 245,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,185.94 : 378,023.73 = 163,495.80 : x
  2. Step 2: Convert to fraction form
    252,185.94/378,023.73 = 163,495.80/x
  3. Step 3: Cross multiply
    252,185.94x = 378,023.73 × 163,495.80
  4. Step 4: Simplify right side
    252,185.94x = 61,805,292,155.33
  5. Step 5: Solve for x
    x = 61,805,292,155.33/252,185.94
  6. Step 6: Final answer
    x = 245,078.26

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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.