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Finding the Fourth Proportional to 157,958.15, 236,978.77 and 56,766.43

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Solution

The fourth proportional to 157,958.15, 236,978.77 and 56,766.43 is: 85,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,958.15 : 236,978.77 = 56,766.43 : x
  2. Step 2: Convert to fraction form
    157,958.15/236,978.77 = 56,766.43/x
  3. Step 3: Cross multiply
    157,958.15x = 236,978.77 × 56,766.43
  4. Step 4: Simplify right side
    157,958.15x = 13,452,437,573.80
  5. Step 5: Solve for x
    x = 13,452,437,573.80/157,958.15
  6. Step 6: Final answer
    x = 85,164.57

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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.