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Finding the Fourth Proportional to 138,385.39, 190,973.96 and 81,802.03

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Solution

The fourth proportional to 138,385.39, 190,973.96 and 81,802.03 is: 112,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,385.39 : 190,973.96 = 81,802.03 : x
  2. Step 2: Convert to fraction form
    138,385.39/190,973.96 = 81,802.03/x
  3. Step 3: Cross multiply
    138,385.39x = 190,973.96 × 81,802.03
  4. Step 4: Simplify right side
    138,385.39x = 15,622,057,605.14
  5. Step 5: Solve for x
    x = 15,622,057,605.14/138,385.39
  6. Step 6: Final answer
    x = 112,888.06

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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.