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Finding the Fourth Proportional to 136,769.40, 205,133.58 and 43,263

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Solution

The fourth proportional to 136,769.40, 205,133.58 and 43,263 is: 64,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,769.40 : 205,133.58 = 43,263 : x
  2. Step 2: Convert to fraction form
    136,769.40/205,133.58 = 43,263/x
  3. Step 3: Cross multiply
    136,769.40x = 205,133.58 × 43,263
  4. Step 4: Simplify right side
    136,769.40x = 8,874,694,071.54
  5. Step 5: Solve for x
    x = 8,874,694,071.54/136,769.40
  6. Step 6: Final answer
    x = 64,888.01

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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.