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Finding the Fourth Proportional to 106,056.30, 146,356.56 and 63,638.76

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Solution

The fourth proportional to 106,056.30, 146,356.56 and 63,638.76 is: 87,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056.30 : 146,356.56 = 63,638.76 : x
  2. Step 2: Convert to fraction form
    106,056.30/146,356.56 = 63,638.76/x
  3. Step 3: Cross multiply
    106,056.30x = 146,356.56 × 63,638.76
  4. Step 4: Simplify right side
    106,056.30x = 9,313,949,996.27
  5. Step 5: Solve for x
    x = 9,313,949,996.27/106,056.30
  6. Step 6: Final answer
    x = 87,820.81

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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.