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Finding the Fourth Proportional to 158,963.25, 238,481.80 and 46,638.93

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Solution

The fourth proportional to 158,963.25, 238,481.80 and 46,638.93 is: 69,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,963.25 : 238,481.80 = 46,638.93 : x
  2. Step 2: Convert to fraction form
    158,963.25/238,481.80 = 46,638.93/x
  3. Step 3: Cross multiply
    158,963.25x = 238,481.80 × 46,638.93
  4. Step 4: Simplify right side
    158,963.25x = 11,122,535,976.47
  5. Step 5: Solve for x
    x = 11,122,535,976.47/158,963.25
  6. Step 6: Final answer
    x = 69,969.23

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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.