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Finding the Fourth Proportional to 192,645.77, 289,026.84 and 57,714.23

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Solution

The fourth proportional to 192,645.77, 289,026.84 and 57,714.23 is: 86,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,645.77 : 289,026.84 = 57,714.23 : x
  2. Step 2: Convert to fraction form
    192,645.77/289,026.84 = 57,714.23/x
  3. Step 3: Cross multiply
    192,645.77x = 289,026.84 × 57,714.23
  4. Step 4: Simplify right side
    192,645.77x = 16,680,961,519.93
  5. Step 5: Solve for x
    x = 16,680,961,519.93/192,645.77
  6. Step 6: Final answer
    x = 86,588.78

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1.5x scale

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.