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Finding the Fourth Proportional to 135,453.24, 186,925.26 and 75,837.24

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Solution

The fourth proportional to 135,453.24, 186,925.26 and 75,837.24 is: 104,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,453.24 : 186,925.26 = 75,837.24 : x
  2. Step 2: Convert to fraction form
    135,453.24/186,925.26 = 75,837.24/x
  3. Step 3: Cross multiply
    135,453.24x = 186,925.26 × 75,837.24
  4. Step 4: Simplify right side
    135,453.24x = 14,175,895,804.68
  5. Step 5: Solve for x
    x = 14,175,895,804.68/135,453.24
  6. Step 6: Final answer
    x = 104,655.27

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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.