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Finding the Fourth Proportional to 197,057.88, 295,543.08 and 56,827.44

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Solution

The fourth proportional to 197,057.88, 295,543.08 and 56,827.44 is: 85,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,057.88 : 295,543.08 = 56,827.44 : x
  2. Step 2: Convert to fraction form
    197,057.88/295,543.08 = 56,827.44/x
  3. Step 3: Cross multiply
    197,057.88x = 295,543.08 × 56,827.44
  4. Step 4: Simplify right side
    197,057.88x = 16,794,956,646.12
  5. Step 5: Solve for x
    x = 16,794,956,646.12/197,057.88
  6. Step 6: Final answer
    x = 85,228.55

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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.