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Finding the Fourth Proportional to 175,107, 262,698.84 and 56,790.30

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Solution

The fourth proportional to 175,107, 262,698.84 and 56,790.30 is: 85,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,107 : 262,698.84 = 56,790.30 : x
  2. Step 2: Convert to fraction form
    175,107/262,698.84 = 56,790.30/x
  3. Step 3: Cross multiply
    175,107x = 262,698.84 × 56,790.30
  4. Step 4: Simplify right side
    175,107x = 14,918,745,933.25
  5. Step 5: Solve for x
    x = 14,918,745,933.25/175,107
  6. Step 6: Final answer
    x = 85,197.88

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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.