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Finding the Fourth Proportional to 257,198.86, 385,657.34 and 79,656.58

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Solution

The fourth proportional to 257,198.86, 385,657.34 and 79,656.58 is: 119,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.86 : 385,657.34 = 79,656.58 : x
  2. Step 2: Convert to fraction form
    257,198.86/385,657.34 = 79,656.58/x
  3. Step 3: Cross multiply
    257,198.86x = 385,657.34 × 79,656.58
  4. Step 4: Simplify right side
    257,198.86x = 30,720,142,828.01
  5. Step 5: Solve for x
    x = 30,720,142,828.01/257,198.86
  6. Step 6: Final answer
    x = 119,441.21

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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.