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Finding the Fourth Proportional to 135,494.56, 186,983.79 and 75,066.49

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Solution

The fourth proportional to 135,494.56, 186,983.79 and 75,066.49 is: 103,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,494.56 : 186,983.79 = 75,066.49 : x
  2. Step 2: Convert to fraction form
    135,494.56/186,983.79 = 75,066.49/x
  3. Step 3: Cross multiply
    135,494.56x = 186,983.79 × 75,066.49
  4. Step 4: Simplify right side
    135,494.56x = 14,036,216,802.20
  5. Step 5: Solve for x
    x = 14,036,216,802.20/135,494.56
  6. Step 6: Final answer
    x = 103,592.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.