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Finding the Fourth Proportional to 106,219.35, 146,505.65 and 72,168.30

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Solution

The fourth proportional to 106,219.35, 146,505.65 and 72,168.30 is: 99,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,219.35 : 146,505.65 = 72,168.30 : x
  2. Step 2: Convert to fraction form
    106,219.35/146,505.65 = 72,168.30/x
  3. Step 3: Cross multiply
    106,219.35x = 146,505.65 × 72,168.30
  4. Step 4: Simplify right side
    106,219.35x = 10,573,063,340.05
  5. Step 5: Solve for x
    x = 10,573,063,340.05/106,219.35
  6. Step 6: Final answer
    x = 99,539.90

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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.