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Finding the Fourth Proportional to 219,726.25, 303,185.78 and 138,041.80

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Solution

The fourth proportional to 219,726.25, 303,185.78 and 138,041.80 is: 190,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,726.25 : 303,185.78 = 138,041.80 : x
  2. Step 2: Convert to fraction form
    219,726.25/303,185.78 = 138,041.80/x
  3. Step 3: Cross multiply
    219,726.25x = 303,185.78 × 138,041.80
  4. Step 4: Simplify right side
    219,726.25x = 41,852,310,115.40
  5. Step 5: Solve for x
    x = 41,852,310,115.40/219,726.25
  6. Step 6: Final answer
    x = 190,474.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.