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Finding the Fourth Proportional to 105,213.60, 145,043.73 and 64,900.17

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Solution

The fourth proportional to 105,213.60, 145,043.73 and 64,900.17 is: 89,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,213.60 : 145,043.73 = 64,900.17 : x
  2. Step 2: Convert to fraction form
    105,213.60/145,043.73 = 64,900.17/x
  3. Step 3: Cross multiply
    105,213.60x = 145,043.73 × 64,900.17
  4. Step 4: Simplify right side
    105,213.60x = 9,413,362,734.43
  5. Step 5: Solve for x
    x = 9,413,362,734.43/105,213.60
  6. Step 6: Final answer
    x = 89,469.07

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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.