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Finding the Fourth Proportional to 307,882.52, 424,855.50 and 178,762.04

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Solution

The fourth proportional to 307,882.52, 424,855.50 and 178,762.04 is: 246,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,882.52 : 424,855.50 = 178,762.04 : x
  2. Step 2: Convert to fraction form
    307,882.52/424,855.50 = 178,762.04/x
  3. Step 3: Cross multiply
    307,882.52x = 424,855.50 × 178,762.04
  4. Step 4: Simplify right side
    307,882.52x = 75,948,035,885.22
  5. Step 5: Solve for x
    x = 75,948,035,885.22/307,882.52
  6. Step 6: Final answer
    x = 246,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.