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Finding the Fourth Proportional to 135,340.49, 203,009.83 and 105,783.19

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Solution

The fourth proportional to 135,340.49, 203,009.83 and 105,783.19 is: 158,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,340.49 : 203,009.83 = 105,783.19 : x
  2. Step 2: Convert to fraction form
    135,340.49/203,009.83 = 105,783.19/x
  3. Step 3: Cross multiply
    135,340.49x = 203,009.83 × 105,783.19
  4. Step 4: Simplify right side
    135,340.49x = 21,475,026,646.78
  5. Step 5: Solve for x
    x = 21,475,026,646.78/135,340.49
  6. Step 6: Final answer
    x = 158,674.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.