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Finding the Fourth Proportional to 175,645.64, 263,469.15 and 42,525.70

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Solution

The fourth proportional to 175,645.64, 263,469.15 and 42,525.70 is: 63,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,645.64 : 263,469.15 = 42,525.70 : x
  2. Step 2: Convert to fraction form
    175,645.64/263,469.15 = 42,525.70/x
  3. Step 3: Cross multiply
    175,645.64x = 263,469.15 × 42,525.70
  4. Step 4: Simplify right side
    175,645.64x = 11,204,209,373.48
  5. Step 5: Solve for x
    x = 11,204,209,373.48/175,645.64
  6. Step 6: Final answer
    x = 63,788.71

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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.