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Finding the Fourth Proportional to 251,892.10, 377,838.15 and 194,811.40

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Solution

The fourth proportional to 251,892.10, 377,838.15 and 194,811.40 is: 292,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,892.10 : 377,838.15 = 194,811.40 : x
  2. Step 2: Convert to fraction form
    251,892.10/377,838.15 = 194,811.40/x
  3. Step 3: Cross multiply
    251,892.10x = 377,838.15 × 194,811.40
  4. Step 4: Simplify right side
    251,892.10x = 73,607,178,974.91
  5. Step 5: Solve for x
    x = 73,607,178,974.91/251,892.10
  6. Step 6: Final answer
    x = 292,217.10

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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.