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Finding the Fourth Proportional to 149,042.25, 205,681.55 and 81,974.25

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Solution

The fourth proportional to 149,042.25, 205,681.55 and 81,974.25 is: 113,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,042.25 : 205,681.55 = 81,974.25 : x
  2. Step 2: Convert to fraction form
    149,042.25/205,681.55 = 81,974.25/x
  3. Step 3: Cross multiply
    149,042.25x = 205,681.55 × 81,974.25
  4. Step 4: Simplify right side
    149,042.25x = 16,860,590,390.22
  5. Step 5: Solve for x
    x = 16,860,590,390.22/149,042.25
  6. Step 6: Final answer
    x = 113,126.25

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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.