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Finding the Fourth Proportional to 135,345, 186,771.42 and 74,918.28

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Solution

The fourth proportional to 135,345, 186,771.42 and 74,918.28 is: 103,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,345 : 186,771.42 = 74,918.28 : x
  2. Step 2: Convert to fraction form
    135,345/186,771.42 = 74,918.28/x
  3. Step 3: Cross multiply
    135,345x = 186,771.42 × 74,918.28
  4. Step 4: Simplify right side
    135,345x = 13,992,593,539.56
  5. Step 5: Solve for x
    x = 13,992,593,539.56/135,345
  6. Step 6: Final answer
    x = 103,384.64

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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.