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Finding the Fourth Proportional to 135,459.14, 186,944.15 and 75,035.51

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Solution

The fourth proportional to 135,459.14, 186,944.15 and 75,035.51 is: 103,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,459.14 : 186,944.15 = 75,035.51 : x
  2. Step 2: Convert to fraction form
    135,459.14/186,944.15 = 75,035.51/x
  3. Step 3: Cross multiply
    135,459.14x = 186,944.15 × 75,035.51
  4. Step 4: Simplify right side
    135,459.14x = 14,027,450,642.24
  5. Step 5: Solve for x
    x = 14,027,450,642.24/135,459.14
  6. Step 6: Final answer
    x = 103,554.85

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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.