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Finding the Fourth Proportional to 134,267, 201,429.84 and 51,161

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Solution

The fourth proportional to 134,267, 201,429.84 and 51,161 is: 76,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,267 : 201,429.84 = 51,161 : x
  2. Step 2: Convert to fraction form
    134,267/201,429.84 = 51,161/x
  3. Step 3: Cross multiply
    134,267x = 201,429.84 × 51,161
  4. Step 4: Simplify right side
    134,267x = 10,305,352,044.24
  5. Step 5: Solve for x
    x = 10,305,352,044.24/134,267
  6. Step 6: Final answer
    x = 76,752.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.