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Finding the Fourth Proportional to 106,066.30, 146,371.80 and 60,745

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Solution

The fourth proportional to 106,066.30, 146,371.80 and 60,745 is: 83,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,066.30 : 146,371.80 = 60,745 : x
  2. Step 2: Convert to fraction form
    106,066.30/146,371.80 = 60,745/x
  3. Step 3: Cross multiply
    106,066.30x = 146,371.80 × 60,745
  4. Step 4: Simplify right side
    106,066.30x = 8,891,354,991
  5. Step 5: Solve for x
    x = 8,891,354,991/106,066.30
  6. Step 6: Final answer
    x = 83,828.28

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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.