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Finding the Fourth Proportional to 135,882.87, 187,530.24 and 75,465.32

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Solution

The fourth proportional to 135,882.87, 187,530.24 and 75,465.32 is: 104,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882.87 : 187,530.24 = 75,465.32 : x
  2. Step 2: Convert to fraction form
    135,882.87/187,530.24 = 75,465.32/x
  3. Step 3: Cross multiply
    135,882.87x = 187,530.24 × 75,465.32
  4. Step 4: Simplify right side
    135,882.87x = 14,152,029,546.99
  5. Step 5: Solve for x
    x = 14,152,029,546.99/135,882.87
  6. Step 6: Final answer
    x = 104,148.74

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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.