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Finding the Fourth Proportional to 137,726.44, 190,064.82 and 76,471

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Solution

The fourth proportional to 137,726.44, 190,064.82 and 76,471 is: 105,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,726.44 : 190,064.82 = 76,471 : x
  2. Step 2: Convert to fraction form
    137,726.44/190,064.82 = 76,471/x
  3. Step 3: Cross multiply
    137,726.44x = 190,064.82 × 76,471
  4. Step 4: Simplify right side
    137,726.44x = 14,534,446,850.22
  5. Step 5: Solve for x
    x = 14,534,446,850.22/137,726.44
  6. Step 6: Final answer
    x = 105,531.28

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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.