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Finding the Fourth Proportional to 138,385.64, 190,974.30 and 81,802.28

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Solution

The fourth proportional to 138,385.64, 190,974.30 and 81,802.28 is: 112,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,385.64 : 190,974.30 = 81,802.28 : x
  2. Step 2: Convert to fraction form
    138,385.64/190,974.30 = 81,802.28/x
  3. Step 3: Cross multiply
    138,385.64x = 190,974.30 × 81,802.28
  4. Step 4: Simplify right side
    138,385.64x = 15,622,133,161.40
  5. Step 5: Solve for x
    x = 15,622,133,161.40/138,385.64
  6. Step 6: Final answer
    x = 112,888.40

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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.