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Finding the Fourth Proportional to 135,378, 186,821.64 and 75,762

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Solution

The fourth proportional to 135,378, 186,821.64 and 75,762 is: 104,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,378 : 186,821.64 = 75,762 : x
  2. Step 2: Convert to fraction form
    135,378/186,821.64 = 75,762/x
  3. Step 3: Cross multiply
    135,378x = 186,821.64 × 75,762
  4. Step 4: Simplify right side
    135,378x = 14,153,981,089.68
  5. Step 5: Solve for x
    x = 14,153,981,089.68/135,378
  6. Step 6: Final answer
    x = 104,551.56

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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.