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Finding the Fourth Proportional to 175,188.64, 262,782.88 and 56,860

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Solution

The fourth proportional to 175,188.64, 262,782.88 and 56,860 is: 85,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,188.64 : 262,782.88 = 56,860 : x
  2. Step 2: Convert to fraction form
    175,188.64/262,782.88 = 56,860/x
  3. Step 3: Cross multiply
    175,188.64x = 262,782.88 × 56,860
  4. Step 4: Simplify right side
    175,188.64x = 14,941,834,556.80
  5. Step 5: Solve for x
    x = 14,941,834,556.80/175,188.64
  6. Step 6: Final answer
    x = 85,289.97

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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.