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Finding the Fourth Proportional to 231,219.95, 319,083.41 and 135,726.63

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Solution

The fourth proportional to 231,219.95, 319,083.41 and 135,726.63 is: 187,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,219.95 : 319,083.41 = 135,726.63 : x
  2. Step 2: Convert to fraction form
    231,219.95/319,083.41 = 135,726.63/x
  3. Step 3: Cross multiply
    231,219.95x = 319,083.41 × 135,726.63
  4. Step 4: Simplify right side
    231,219.95x = 43,308,115,249.58
  5. Step 5: Solve for x
    x = 43,308,115,249.58/231,219.95
  6. Step 6: Final answer
    x = 187,302.68

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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.