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Finding the Fourth Proportional to 200,818.32, 301,023.36 and 125,990.52

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Solution

The fourth proportional to 200,818.32, 301,023.36 and 125,990.52 is: 188,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,818.32 : 301,023.36 = 125,990.52 : x
  2. Step 2: Convert to fraction form
    200,818.32/301,023.36 = 125,990.52/x
  3. Step 3: Cross multiply
    200,818.32x = 301,023.36 × 125,990.52
  4. Step 4: Simplify right side
    200,818.32x = 37,926,089,658.55
  5. Step 5: Solve for x
    x = 37,926,089,658.55/200,818.32
  6. Step 6: Final answer
    x = 188,857.72

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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.