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Finding the Fourth Proportional to 210,070.32, 315,241.80 and 125,766.96

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Solution

The fourth proportional to 210,070.32, 315,241.80 and 125,766.96 is: 188,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,070.32 : 315,241.80 = 125,766.96 : x
  2. Step 2: Convert to fraction form
    210,070.32/315,241.80 = 125,766.96/x
  3. Step 3: Cross multiply
    210,070.32x = 315,241.80 × 125,766.96
  4. Step 4: Simplify right side
    210,070.32x = 39,647,002,850.93
  5. Step 5: Solve for x
    x = 39,647,002,850.93/210,070.32
  6. Step 6: Final answer
    x = 188,732.05

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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.