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Finding the Fourth Proportional to 135,504, 186,995.52 and 75,888

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Solution

The fourth proportional to 135,504, 186,995.52 and 75,888 is: 104,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,504 : 186,995.52 = 75,888 : x
  2. Step 2: Convert to fraction form
    135,504/186,995.52 = 75,888/x
  3. Step 3: Cross multiply
    135,504x = 186,995.52 × 75,888
  4. Step 4: Simplify right side
    135,504x = 14,190,716,021.76
  5. Step 5: Solve for x
    x = 14,190,716,021.76/135,504
  6. Step 6: Final answer
    x = 104,725.44

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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.