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Finding the Fourth Proportional to 257,950.20, 386,925.30 and 194,964.60

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Solution

The fourth proportional to 257,950.20, 386,925.30 and 194,964.60 is: 292,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,950.20 : 386,925.30 = 194,964.60 : x
  2. Step 2: Convert to fraction form
    257,950.20/386,925.30 = 194,964.60/x
  3. Step 3: Cross multiply
    257,950.20x = 386,925.30 × 194,964.60
  4. Step 4: Simplify right side
    257,950.20x = 75,436,736,344.38
  5. Step 5: Solve for x
    x = 75,436,736,344.38/257,950.20
  6. Step 6: Final answer
    x = 292,446.90

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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.