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Finding the Fourth Proportional to 135,694.70, 187,281.11 and 75,284.81

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Solution

The fourth proportional to 135,694.70, 187,281.11 and 75,284.81 is: 103,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,694.70 : 187,281.11 = 75,284.81 : x
  2. Step 2: Convert to fraction form
    135,694.70/187,281.11 = 75,284.81/x
  3. Step 3: Cross multiply
    135,694.70x = 187,281.11 × 75,284.81
  4. Step 4: Simplify right side
    135,694.70x = 14,099,421,470.11
  5. Step 5: Solve for x
    x = 14,099,421,470.11/135,694.70
  6. Step 6: Final answer
    x = 103,905.47

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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.